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4 Marks Questions1. Compare and contrast the social

movements discussed in socialmovements lesson?

A: Comparisons:i) The movements around the different parts

of the world aroused when the politicalsetup was not able to meet the aspirationsof public.

ii) Generally these are away from politics.iii) They took up many incidents related to

public life like social rights, environment,developmental struggles.

e.g.: a) Narmada Bachao Andolanb) Silent valley movementc) Meira Paibid) Anti Arrack movement

Differencesi) The movement in USA was civil rights and

Russia was human rights.

ii) Anti arrack movement in Andhra Pradesh,Meira Paibi in Manipur are related towomen.

iii) Bhopal gas leakage, silent valley, greenpeace narmada bachao andolan etc areenvironmental movements.

2. If people from different countries meeteach other there would be less chances ofwar, then the government alone decidingthe policy with each other. Would youagree with this statement? Give reasons.

A: H Yes, this is a valid statement. Most ofthe cases wars take place due to politi-cal economic and ideological differ-ences.

H Though a common man has no feelingtowards other nations they too must haveto suffer and share consequences in caseof war.

H If people of different countries cometogether it will be possible to understandeach other culturally, ideologically.

H This helps in building strong relationshipamong each other thereby preventing anychances of war.

3. Write down critical view on the provisionsof AFSPA and how they became curtailfreedom and liberties of the people?

A: The act gives to the security forces the

right to arrest or shoot people simply undersuspicion of being involved in anti nationalactivities. It is argued that provisions of thelaw have been abused and often there hasbeen torture killing and harassment ofinnocent individuals including women whohave exploited violated by security forces.According to my opinion laws should notbe misused by security forces.

Kanukolanu Srinivas RaoSubject Expert

Writer

Target-2020

TenthSocial Studies Paper - II

100100

Social Movements in Our Times

2 Marks Questions

1. What are the basic features of socialmovements?

A: H Social movements have raiseddiverse demands of environment, humanrights and equality.

H These often distant from individual politi-cal parties and more united under asingle cause.

H Their programmes are envisagedthrough participatory and democraticmanner.

H Social movements arise when peoplefeel their expectations were unmet bypolitical systems.

2. What were the various strategies usedby social movement?

A: Movements are the powerful means ofcommon people to raise their voice to beheard by government and see to theirdemands. The protesters around theworld have opted different methods tocarry out these movements.The most popular and effective methodof movement is through Non-Violence.Street marches, strikes are some formsof protests. Boycotts, Non-cooperationetc., are modern trend of movements.

3. Expand SALT and START.A: H SALT - Strategic Arms Limitation

Talks H START - Strategic Arms Reduction

Treaty

1 Mark Questions

1. What was Malcom X's idea of a civil rightsstruggle?

A: Blacks should fight for a separateindependent state. They should take upweapons and fight.

2. What is the aim of Green Peace?A: The aim of Green Peace is to ensure the

ability of the earth to nurture life in all itsdiversity.

3. Why Ozone layer is important?A: It absorbs harmful rays of sun and

protects the earth.4. What is anti arrack movement?A: The movement led by women belonged

to the poorest section of society inAndhra Pradesh to ban taddy and arrackand later complete prohibition.

5. What is the aim of KSSP?A: To work for popularisation of science and

learning among common people.

1 Mark Questions2

1. The famous speech 'I have a Dream'delivered by .........

A: Dr. Martin Luther King2. Give one example of social movement.A: American civil rights movement, Green

peace movement3. Expand KSSP.A: Kerala Sastra Sahitya Parishad

4. Headquarters of Green Peace movementis ......

A: Amsterdam (Holland)5. The Bhopal gas disaster happened in

which year? A: 19846. Meira Paibi movement : Manipur : : Silent

Valley movement : ?A: Kerala7. Narmada Bachao Andolan : Bava

Mahaliya : : Chipko Movement : ?A: Sundarlal Bahuguna

4 Marks Questions

1. How do you think RTI would help inimproving and monitoring the work of thegovernment?

A: H In any democratic system, govern-ments are responsible and account-able to people.

H Earlier accountability of governmentdepartments and its functionaries weremostly limited to the elected representa-tives of people.

H Enactment of the RTI effectively meansthat individual government. departmentsnow have responsibility to maintainrecords and make them available to anycitizen who may ask for it.

H So, if there are any discrepancies, theywill be brought out and who are respon-sible will be given punishments.

H So in this way government functioningcan be bettered and monitored well.

2. 'This Act resembles the true spirit ofdemocracy'. How do you Justify?

A: H In a democracy it is the people moneythat is used for their welfare andtherefore people have every right toknow how this is being used.

H People can participate in government

and ensure development only, if theyhave sufficient information in the form ofofficial documents.

H In situations when information has to bemade public arbitrary decisions by theelected representatives.

H Information is crucial to the humandevelopment and democratic rights.

H Information will make governmentsmore accountable in their functioningand check possibility of corruptpractices.

H Thus this Act (RTI Act of 2005) resem-bles the true spirit of democracy.

3. Write about the Right to Information Act?

A: The Right to Information Act waspassed by the central government in2005.

H The Act was passed as a result ofpeoples mobilization as well as inrecognition of the provisions in theconstitution.

H The two roles that need to be played forgetting the benefits of RTI to the people.

H The first one is the role of the govern-ment departments and the second isthat of the citizens.

H The fees to apply for RTI is 5 or 10rupees.

Citizens and the Government 2 Marks Questions

1. Do you support Lok Adalat? If so why?A: Yes, I support Lok Adalat system

becauseH It gives better access for general public

to the judiciary system.H This provides free legal services which will

help poor people who cannot meet thecourt expenses to get justice through LokAdalat. The Judgement will be given earli-er than in courts.

2. Do you think an alternative disputeresolution mechanism outside courts willhelp the people. Discuss.

A: The alternate dispute resolution mecha-nism such as religious courts, local pan-chayats, Lok Adalats. These alternatemechanisms are more flexible where wecan interact freely with the decisionmaking authority. These are actuallyprovides speedy trial of the disputes.

3. What are the functions of legal serviceauthorities?

A: H Provide legal service H Conduct Lok Adalts H Undertake preventive and strategic

legal aid programmes.H Perform such other functions as the

legal services authority fixes by regu-lations.

1 Mark Questions

1. When was the right to information actwas passed by the central government?

A: Right to information act was passed in2005 by the central government.

2. Name two autonomous bodies under RTI.A: H Election Commission H Judiciary3. Is Right to information a fundamental

right?A: Yes, it is enjoying the status of a funda-

mental right.4. What is information?A: Records, documents, memos, emails,

press releases, orders and log booksetc.

5. Expand NALSA.A: National Legal Service Authority.

12 Mark Questions

1. Right to Education Act (RTE) - 2009Right to information Act (RTI) - ?

A: 20052. Find the odd one out.

Election commission, Judiciary, RelianceA: Reliance3. State - SPIC

Central - ?A: CPIC (Central Public Information Officer)

The aim of Green Peace is ..?

Protest in Narmada Valley against

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2 Marks Questions1. Why are the wages for farm labours in

Rampur less than minimum wages?A: H There is heavy competition for work

among the farm labours in Rampur. So,people agree to work lower for wages.

H With large farmers increasingly relyingon machines like tractors, harvestersthe number of days of work available toa worker is a very low in rural areas.

H So the wages for farm labours inRampur less than minimum wages.

2. Is it important to increase the area underirrigation? Why?

A: H It is very important to increase the areaunder irrigation because it is not wise todepend on monsoon rains which areuncertain and erratic.

H To increase production we have tobring more area under irrigation.

H It helps us to improve the farming pattern or adopt modern farming meth-ods in those areas.

3. Why do so many families of farmers culti-vate such small plots of land?

A: Due to the tendency of separation amongthe families, the existing land will be divid-ed among the family members, making theland in to small plots. This right of inheri-tance is reducing the land-holding size.

4. Explain about the modern agriculturalmethods?

A: Use of high yielding variety of seeds, useof fertilizers and chemical pesticides, useof water of borewells, use of machines,etc. are all the modern methods followedin agricultural production.

5. If machines are used in agricultural sectorhow does it influences rural employment?

A: H Now a days large scale of farmersdepend on tractors, threshers andsome own harvesters.

H So Agricultural labour have to look forwork and they suffer a lot.

H There is heavy competition for workamong the workers.

H They are ready to work for low wages.6. Such migration in villages is common in

India. Why do village people migrate? Canyour describe?

A: The reasons for migration areH Less employment in villages.H More employment opportunities avail-

able in towns and cities.H They did not find regular jobs in the vil-

lage.H Rural employment guarantee pro-

grammes are not properly implement-ed.

H Rural people want to rise their standardof living.

Rampur: A Village Economy

What is Multiple Cropping?

G. Viswa PrasadSubject Expert

Writer

Target-2020

TenthSocial Studies Paper - I

100100

1. Which is the main production activity invillage across India?

A: Agriculture is the main productionactivity in our villages.

2. Define the land?

A: It is a necessary factor for production.

3. What is multiple cropping?

A: To grow more than one crop on thesame piece of land during the year isknown as multiple cropping.

4. What is fixed capital?

A: Tools, machines and buildings arecalled 'fixed capital'. Because thesecan be used in production for severalyears.

5. Define working capital?

A: Raw material and money required forthe production is called working capital.

6. Mention the factors of production?

A: Land, labour, capital, knowledge andenterprises are the factors of production.

7. What is a hectare?

A: The standard unit of measuring land isa hectare. One hectare is equal to10000 meters.

8. Define water table?

A: The level of ground water.

9. Explain about the surplus.

A: The production which remains afterthe consumption by the farmers family,and excess of production.

10. Why should one take loans only fromthe banks?

A: Banks charge less rate of interest soone should take loans from the banksonly.

1 Mark Questions

Type of Size of Percentage Percentage of Farmers plots of Cultivated

Farmers Area

Small Less than87% 48%Farmers 2 hectares

Medium More thanand large two 13% 52%Farmers hectares

i) Who are called small farmers?A:The farmers who possess less than 2

hectares of Land.ii) Would you agree that the distribution of

cultivated land is unequal in India?Explain.

A: Yes. I agree because 87% of farmersare cultivating only 48% of land. On theother hand, only 13% of farmers are cul-tivating 52% of land.

n Observe the following table and answerthe questions given below.

1. Why do you think men receive a high-er wage than women for the same job?Discuss.

A: H There are works in farming likeploughing fixed for men.

H There are several others like trans-planting and picking cotton are fixedfor women.

H But the remaining farm works canbe done by both men and women.

H Among them also more wages wereset up by the government for mencompared to women.

H Because men are physically strong.H With that energy they got, they com-

plete the works neatly and quickly.H Thus men receive higher wage than

women.

2. Land is also required for production ofgoods in an urban area. In what waysis the use of land different from a ruralarea?

A: H Land is required for production ofgoods in an urban area.

H But the use of land in urban area isdifferent from that of a rural area.

H In urban area land is mostly used fornon-farm production activity.

H They are like industrial complexes,commercial complexes, dairies,small-medium-large scale manufac-turing units, market yards, shopsetc.

H Whereas in the village, most land isunder land farming activity.

H Thus we can say that land is alsorequired for production of goods inan urban area.

4 Marks Questions

n Observe the following table and answer the questions

Workers Ploughing Sowing Weeding Transplanting Harvesting Winnowing Threshing Picking Cotton

Male 214 197 215 - 164 168 152 -

Female - 152 130 143 126 124 118 136

i) For which work are women getting low-est wages?

A: Threshingii) For which work men getting highest wages?A: Weeding

iii) Which work is done only by women?A: Transplanting, Picking cottoniv) Based on the above table which work is

done only by men?A: Ploughing

1 Mark 1. What is the main aim of production?2. Expand MGNREGA?3. What is working capital?4. Mention the factors of production?5. What are the sources of irrigation?

2 Marks1. How is multiple cropping system benefi-

cent to farmers?2. Why is dairy popular economic

activity in the village?3. Write the differences between the big

farmers and small farmers? 4. Write any two aspects of Rampur Village’s

economy which you like?

4 Marks 1. How do the medium and large farmers

obtain capital farming? How is it different from the small farmers?

2. What are the various ways through whichfarmers can get loan? Write their advan-tages and disadvantages?

1. Through MGNREGA, the government

A) Health Programme

B) Food Programme

C) Distribute land

D) Employment Programme

2. From when there is no expansion incultivated land in Rampur?

A) 1971 B) 1921

C) 1951 D) 1981

3. One hector is.....

A) 100 Sq.mt. B) 1000 Sq.mt.

C) 1082 Sq.mt. D) 10,000 Sq.mt.

4. In villages across India which is themain production activity?

A) Agriculture B) Weaving

C) Poultry D) Dairy

5. The crop in rainy season is called?

A) Zayad B) Rabi

C) Kharif D) None

6. In India the small farmers percentageis....

A) 67% B) 77%

C) 57% D) 87%

Answers: 1-D 2-B 3-D 4-A 5-C 6-D

Additional Questions1 Marks Questions2

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email: help@eenadupratibha.netþ¼÷ªî¦ô¢Ù 3 íƇvñ÷J 2020

2 ÷«ô¢ª\õ ví£øŒoõª1. 12Pr = 1320 Í-ô³ê¶ 'r' N-õª÷ ÓÙêŸ?þ§ëÅ]ì: 1320 = 132 10

= 12 11 10 Þ¥ ô¦óŸª-÷àŸªanP2 = n(n 1) nP3 = n(n 1)(n 2)nP4 = n(n 1)(n 2)(n 3)

12 11 10 = 12Pr12 (12 1) (12 2) = 12P3

Ú¥-ñæ¨d 12Pr = 12P3 r = 3

2. MATHEMATICS í£-ë]Ù-ö˺E ͤÛ-ô¦-õìª Í÷ª-ô¢aè[Ù ë¯yô¦ ÷à¶a ví£þ§h-ô¦õ ú£ÙÜu-õìª ÚÛìª-ÚÁ\Ùè….-

þ§ëÅ]ì:- MATHEMATICS Íû¶ í£ë]Ùö˺ 11 ͤÛ-ô¦õªÑû¦oô³.- ÍÙë]ªö˺ 2M õª, 2A õª, 2T õª ÑÙè[Þ¥NªT-L-ìN NGÅ-ìo-îμªi-ìN.- Ú¥ñæ¨d î¦æ¨E Í÷ª-ô¢aè[Ù

11!ë¯yô¦ ÷à¶a ví£þ§h-ô¦õ ú£ÙÜu =- 2! 2! 2!

3. Ôè[ª-Þœªô¢ª ÷uÚÛªh-õìª ÖÚÛ ÷”ê¦h-Ú¥ô¢ ñõx àŸªå«dÍ÷ª¸ôa Nëů-û¦õ ú£ÙÜuìª ÚÛìª-ÚÁ\Ùè….-

þ§ëÅ]ì:- 'n' Í-ìª-ô¢«í£ ÷ú£ªh-÷±-õìª Ñí£-óμ«-TÙ# Ôô¢p-ô¢-àŸ-Þœõ ÷”ê¦h-Ú¥ô¢ ví£þ§h-ô¦õ ú£ÙÜu =- (n 1)!

Ú¥-ñæ¨d Ôè[ª-Þœªô¢ª ÷uÚÛªh-õìª ÖÚÛ ÷”ê¦h-Ú¥ô¢ ñõx àŸªå«dÍ÷ª-Jaê¶ Ôô¢pè˶ ví£þ§h-ô¦õ ú£ÙÜu =- (7 1)!

= 6! = 720

4. 15C2r1 = 15C2r4 Íô³ê¶ 'r' N-õª÷ ÚÛìª-ÚÁ\Ùè….-þ§ëÅ]ì:- nCr = nCs n = r + s öË¶ë¯ r = s

Ð ú£«vêŸÙ Îëů-ô¢ÙÞ¥15C2r1 = 15C2r4 15 = 2r - 1 + 2r + 4

15 3 = 4r 12 = 4r r =- 3

15C2r1 = 15C2r4 2r - 1 = 2r + 4

-1 = 4 ÏC þ§ëÅ]uÙ Ú¥ë]ª Ú¥ñæ¨d r = 3

5. -- 12 òÅ¡ªâ°-õªìo ÖÚÛ ñ-òÅ¡ª->-ö˺E ÚÛô¦gõ ú£ÙÜuÚÛìª-ÚÁ\Ùè….-

þ§ëÅ]ì:- 'n' òÅ¡ª-â°-õªìo ñ-òÅ¡ª> ÚÛô¦gõ ú£ÙÜu n(n 3)

=- nC2 n = 2

ë]-ê¦hÙøŒÙ ìªÙ# ñ-òÅ¡ª> òÅ¡ªâ°õ ú£ÙÜu n = 12 12 òÅ¡ªâ°-õªìo ñ-òÅ¡ª->-ö˺E ÚÛô¦gõ ú£ÙÜu

n(n 3) 12(12 3)= = = 6 9 = 54

2 2

6. -- EQUATION í£-ë]Ù-ö˺E ͤÛ-ô¦õ ìªÙ# 3 ÍàŸªaõª,2 õªx-õìª ÓEo ô¢Ú¥-õªÞ¥ ÓÙàŸª-ÚÁ-÷àŸªa?

þ§ëÅ]ì:- EQUATION Íû¶ í£ë]Ùö˺ÍàŸªaõª =- {A, E, I, O U} = 5

-õªxõª = {Q, T, N} = 3

5 ÍàŸªaõ ìªÙ# 3 ÍàŸªa-õìª, 3 õªxõ ìªÙ# 2õªx-õìª Óìªo-ÚÛªû¶ Nëů-û¦õ ú£ÙÜu= 5C3 3C2 = 5C2 3C1 = 10 3 = 30

7. -- 10C3 + 10C6 = 11C4 ÍE àŸ«í£Ùè….-þ§ëÅ]ì:- LHS: 10C3 + 10C6

= 10C3 + 10C4 (nCr = nCnr)

( nCr + nCr+1 = n+1Cr+1) = 10+1C3+1

= 11C4 RHS

8. -- Îô¢ª-Þœªô¢ª í£±ô¢ª-ù£ªõª, ÷³Þœª_ô¢ª úˆYõ ìªÙ# Íô³-ë]ª-Þœªô¢ª ú£òÅ¡ªu-õªìo ÚÛNª-æ©-õìª ÓEo Ôô¢p-ô¢-àŸ-÷àŸªa?

þ§ëÅ]ì:- í£±ô¢ª-ù£ªõª =- 6, úˆYõª =- 3

îμ³êŸhÙ =- 6 +- 3 =- 9 ÷ªÙCîμ³êŸhÙ 9 ÷ªÙC ìªÙ# 5 ÷ªÙC ú£òÅ¡ªu-õªìo ÚÛNª-æ©EÔô¢p-JචNëů-û¦õ ú£ÙÜu =- 9C5 =- 126

2 ÷«ô¢ª\õ ví£øŒoõª

3x1..-- ( 2y)10ö˺ ÷ªëÅ]u-í£ë]Ù ÚÛìª-ÚÁ\Ùè….-

7

þ§ëÅ]ì:- (x + a)n N-ú£h-ô¢-éö˺ ÷ªëÅ]u-í£ë]Ù n = Tn2 +1 ,

'n' ú£-J-ú£ÙÜu Íô³ê¶

ë]êŸh Cyí£ë] Nú£h-ô¢-éö˺ n = 10 ú£-J-ú£ÙÜu Ú¥ñæ¨d T10

2+1 = T5+1 = Tr+1 = nCr .(x)nr.(a)r

3x= 10C5 ()105

(2y)5 [ r = 5]7

3= 10C5 ( )5. (x)5. 25 . y5

7

3 6 5= 25 . 10C5 ( )5. (xy)5 10C5 ( ) (xy)5

7 7

2..-- (2x + 3y + z)7 N-ú£h-ô¢-éö˺ í£ë¯õ ú£ÙÜuìª ÚÛìª-ÚÁ\Ùè….-

þ§ëÅ]ì:- (a + b + c)n N-ú£h-ô¢-éö˺ í£ë¯õ ú£ÙÜu(n + 1)(n + 2)

= 2

(2x + 3y + z)7 N-ú£h-ô¢-é-ö˺E í£ë¯õ ú£ÙÜu (n = 7)

(7 + 1)(7 + 2) 8 9= = = 36

2 2

3..-- (2 + 3x)2/3 ú£-÷«-þ§-EÚ¨ Cyí£ë] Nú£h-ô¢é

÷u÷-ú‡–-êŸ-÷ªó¶ªu x õ ú£NªA ÚÛìª-ÚÁ\Ùè….- 3xþ§ëÅ]ì:- (2 + 3x)

2/3 = [2(1 + )]2/32

3x= 2

2/3 [1 + x ]2/3 (ÏÚÛ\è[ x = )2

šíj Cyí£ë] Nú£h-ô¢é ÷u÷-ú‡–êŸÙ Ú¥î¦-õÙç˶-x- < 1 Íî¦yL

3x 3x 3-< 1 < 1 x < 2 2 23 3 3 3 < x < x (, )2 2 2 2

4..-- 22Cr Í-û¶C (1 + x)22 Cyí£ë] Nú£h-ô¢é ÞœJù£’Cyí£ë] ÞœªéÚÛÙ Íô³ê¶ 13Cr N-õª÷ ÓÙêŸ?

þ§ëÅ]ì:- (1 + x)22 Ï-ÚÛ\è[ n = 22 ú£-J-ú£ÙÜušíj Nú£h-ô¢-éö˺ nC n2

Þœ-Jù£’ Cyí£ë] ÞœªéÚÛÙ Í÷±-꟪ÙC

=- 22C 222

= 22C11

22Cr = 22C11 r = 11

13Cr = 13C11 (nCr = nCn-r)

13 12= 13C2 = = 78

2 1

Ó.N. íÆ£é©Ùvë]Nù£óŸª Eí£±éªõª

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100100

æ°·ô_æÀ n 2020

4 ÷«ô¢ª\õ ví£øŒoõª1/3 x y

1. -- (x iy) = a ib Í-ô³ê¶ + = 4(a2 b2)a b

ÍE àŸ«í£Ùè….1/3- þ§ëÅ]ì:- (x iy) = a ib

x iy = (a ib)3

x iy = a3 3a2b + 3ai2b2 i3b3

x iy = a3 3a2bi 3ab2 + ib3

x iy = (a3 3ab2) i(3a2b b3)

Ï-ô¢ª-î�μj-í£±ö° î¦ú£h÷, ÚÛLpêŸ òÅ°Þ¥õª ð¼õaÞ¥x = a3 3ab2 y = 3a2b - b3

x = a(a2 3b2) y = b(3a2 b2)

x y = a2 3b2 = 3a2 b2a b

x y + = a2 3b2 + 3a2 b2

a b

x y x y + = 4a2 4b2 + = 4(a2 b2)a b a b

4

2. 34C5 + 38 rC4 N-õª-÷ìª ÚÛìª-ÚÁ\Ùè….-r = 0

4

þ§-ëÅ]ì:- 38 rC4 + 34C5 Þ¥ ô¦óŸª-÷àŸªa.- r = 0

= s38C4+ 37C4+ 36C4 + 35C4 + 34C4z + 34C5

= 38C4+ 37C4+ 36C4 + 35C4 + s34C4 + 34C5z

[...nCr 1 + nCr = n + 1Cr ] ìª Ñí£-óμ«-TÙ#

= 38C4+ 37C4+ 36C4 + 35C4 + 35C5

= 38C4+ 37C4 + 36C4 + 36C5

= 38C4 +37C4 + 37C5

= 38C4 + 38C5 = 39C5

4

34C5 + 38 rC4 = 39C5r = 0

3. 0, 2, 4, 7, 8 ÍÙ-·Ú-õêÁ Ôô¢p-ô¢-àŸ-Þœ-L¸Þ 4 ÍÙ·Úõú£ÙÜuõ îμ³ê¦hEo ÚÛìª-ÚÁ\Ùè….- sí£±ì-ô¦-÷”êŸÙ Ú¥÷ë]ªÌz

þ§ëÅ]ì:- Ï#aì 'n' ÍÙ-·Úö˺x 0 ÚÛ«è¯ ÑÙè[åÙ ÷õx nÍÙ-·Úõ ìªÙ# r ÍÙ-·Úõ ú£ÙÜuõ îμ³ê¦hEoÚ¨ÙC ú£«vê¦-EÚ¨ Íìy-ô³þ§hÙ.-

=- {(n 1)P(r 1)

(ë]êŸh ÍÙ·Úõ îμ³êŸhÙz (1111.-.-.-.-.-.- r þ§ô¢ªx)}

- {(n 2)Pr 2 (ë]êŸh ÍÙ·Úõ îμ³êŸhÙz

(1111.-.-.-.-.-.- (r 1) þ§ô¢ªx)} Ï-ÚÛ\è[ n = 5, r = 4 së]ê¦hÙøŒÙ ìªÙ#z{5 1P4 1 (0 + 2 + 4 + 7 + 8) (1111)}

{5 2P4 2 (0 + 2 + 4 + 7 + 8) (111)}= {4P3 21 1111} {3P2 21 111}= 24 21 1111 6 21 111

= 21(24 1111 6 111)

= 21(26664 666) = 21(25998) = 545958

4. MASTER í£-ë]Ù-ö˺E ͤÛ-ô¦-õìª ví£þ§h-J›úh ÷à¶aí£ë¯-õìª EíÆ£ªÙ-åª÷± vÚÛ÷ªÙö˺ ô¦›úh Î ÷ô¢ª-ú£ö˺REMAST í£ë]Ù óμ³ÚÛ\ ÚÁæ¨E ÚÛìª-ÚÁ\Ùè….-

þ§ëÅ]ì:- ë]êŸh í£ë]Ù MASTER ö˺E ͤÛ-ô¦-õìª EíÆ£ªÙ-åª÷± vÚÛ÷ªÙö˺ ô¦óŸªÙÞ¥

A E M R S T

A êÁ îμ³ë]õó¶ªu í£ë¯õ ú£ÙÜu A ...................5!

E êÁ îμ³ë]õó¶ªu í£ë¯õ ú£ÙÜu E ..................5!

M êÁ îμ³ë]õó¶ªu í£ë¯õ ú£ÙÜu M .................5!

RA êÁ îμ³ë]õó¶ªu í£ë¯õ ú£ÙÜu RA .............4!

REA êÁ îμ³ë]õó¶ªu í£ë¯õ ú£ÙÜu REA .........3!

êŸ-ë]ª-í£J í£ë]Ù REMAST 0!

REMAST í£ë]Ù óμ³ÚÛ\ ÚÁæ¨= -3(5!) +- 4! +- 3! +- 0!

=- 3(120) + 24 +- 6 +- 1

=- 360 +- 31 =- 391

óŸ«ë]”-#aÄÚÛ àŸõ-ô¦-øŒ‰õª, ú£ÙòÅ°-÷uê¦ NòÅ°-á-û¦õª

2 ÷«ô¢ª\õ ví£øŒoõª1. Cyí£ë] NòÅ°-áìÙ óμ³ÚÛ\ ÷ªëÅ]u÷ªÙ, Nú£h¬”A

÷ô¢ªú£Þ¥ 4, 3 P(x 1) ìª ÚÛìª-ÚÁ\Ùè….-þ§ëÅ]ì:- ë]ê¦hÙøŒÙ ìªÙ# Cyí£ë] NòÅ°-áìÙ óμ³ÚÛ\÷ªëÅ]u÷ªÙ =- 4, Nú£h¬”A =- 3

3np = 4, npq = 3 4q = 3 q =- 4

Cyí£ë] NòÅ°-á-ìÙö˺ p + q = 1

3 3 1p + = 1 P = 1 =

4 4 4

1 nP = np = 4 = 4 (n = 16)4 4

P(x 1) = 1 P(x = 0)

= 1 [nCr(q)n r pr]

3 16 0 1 0= 1 [16

C0() () ]4 4

3 16 = 1 [1.() .1 ]4

3 16P(x 1) = 1 ()4

2. P(X = 1) = P(X = 2) Í-ó¶ªuö° X Í-û¶C ð§ô³-â°ûÂàŸõ-ô¦P Íô³ê¶ P(X = 5) N-õª÷ ÚÛìª-ÚÁ\Ùè….-

þ§ëÅ]ì:- ë]ê¦hÙøŒÙ ìªÙ# e.r

P(X = 1) = P(X = 2) [... P(X = r) = ]r!

e. 1 e. 2 2 = = ! !

2 2 = 0 (2 ) = 0

= 0 = 2 ( = 0 þ§ëÅ]uí£è[ë]ª)e2 . 25

P(X = 5) = ... = 25!

3.ÖÚÛ ðƧuÚÛdK êŸóŸ«-ô¢ª-à¶-ú‡ì 100 ñõª(ö˺x í£CÙ-æ¨ö˺ö˺í£Ù Ñìoåªx êμL-ú‡ÙC.- óŸ«ë]”-#aÄ-ÚÛÙÞ¥ 8 ø‹Ùí£±öËÀñõª(-õìª B›úh ÍÙë]ªö˺ ÚÛFú£Ù ÖÚÛæ¨ ö˺í£-÷³ìoñõª( Ú¥÷-è¯-EÚ¨ ú£ÙòÅ°÷uêŸ ÓÙêŸ?

þ§ëÅ]ì:- ö˺í£Ù Ñìo 10 1ñõª(õª =- = = P Í-ìª-ÚÛªÙë¯Ù

100 10

ö˺í£Ù ö˶E ñõª(õª =- q = 1 P

1 9= 1 =

10 10

ø‹Ù-í£±öËÀ ñõª(õª n =- 8

ÚÛ-Fú£Ù ÖÚÛ ñõª( ö˺í£-÷³ìo ú£ÙòÅ°-÷uêŸ = P(X 1)

= P(X = 1) + P(X = 2) +.-.-.-.-.-`-P(X = 8)

= 1 P(X = 0)

9 8 0 1 0 9 8= 1 [8C

0 () () ] = 1 ()10 10 10

ví£þ§hô¦õª n ú£Ùóμ«Þ¥õª Cyí£ë] Nú£h-ô¢é ÷u÷-ú‡–êŸÙ Ú¥î¦-õÙç˶?Cyí£ë] Nú£h-ô¢é ÷u÷-ú‡–êŸÙ Ú¥î¦-õÙç˶?Cyí£ë] Nú£h-ô¢é ÷u÷-ú‡–êŸÙ Ú¥î¦-õÙç˶?Cyí£ë] Nú£h-ô¢é ÷u÷-ú‡–êŸÙ Ú¥î¦-õÙç˶?Cyí£ë] Nú£h-ô¢é ÷u÷-ú‡–êŸÙ Ú¥î¦-õÙç˶?Cyí£ë] Nú£h-ô¢é ÷u÷-ú‡–êŸÙ Ú¥î¦-õÙç˶?Cyí£ë] Nú£h-ô¢é ÷u÷-ú‡–êŸÙ Ú¥î¦-õÙç˶?

Cyí£ë] ú‡ë¯ÌÄÙêŸÙ

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