28 July Business Mathematics

8/14/2019 28 July Business Mathematics

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www.afterschoool.tk AFTERSCHOOOL MATERIAL FO

Business Mathematics

AFTERSCHOOOL DEVELOPING CHANGEMAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP

PGPSE PROGRAMME

World Most Comprehensive programme in socialentrepreneurship & spiritual entrepreneurship

OPEN FOR ALL FREE FOR ALL


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Business MathematicsDr. T.K. Jain.

AFTERSCHOOOL

Centre for social entrepreneurship

Bikaner

M: 9414430763

[email protected]

www.afterschool.tk

www.afterschoool.tk
http://www.afterschool.tk/http://www.afterschoool.tk/http://www.afterschoool.tk/http://www.afterschool.tk/


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In how many ways can 10

afterschooolians sit on a round table

for discussions? Formulae : (when no person has the same 2

neighbours) (n-1)! =1/2 (10-1)! =1/2 * 9! =181440

(if we allow for same neighbours indifferent sides, the answer will be (n-1)!

=9! = 362880 answer.


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In how many ways can we arrange

12 balls. In these balls, we have

balls of red, white and blue colours

in equal numbers.

We have 4 red, 4 white, & 4 blue balls.

Thus solution is :12! / (4! * 4!* 4!)

=479001600 / 24*24*24

=34650 answer.


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We have 5 boys & 4 girls and we

have to form a committee of 4

members out of them. Committeeshould have at least one girl. How

many options do we have?

We have following options: 3boys + 1 girl (5c3 * 4c1) = (10*4)

2 boys + 2 girls (5c2 * 4c2) = (10 * 6)

1 boy + 3 girls (5c1*4c3) = (5 * 4)

4 girls (4c4) = (1) We will all all these probabilities:

40 + 60 + 20 +1 = 121 answer.

C = combination, 5c2 = 5! / (2! * 3!)


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If the letters of word DAUGHTER are

to be arranged so that vowels

occupy the odd places then number

of different words are?

There are 8 letters. Out of these 8, wehave 3 vowels. We have 4 odd places.

we have 5 consonants, for them we have4 places. 5 p 5, which give us 120places. However, one consonant has

been used with vowel - which has 4!Options, thus 120-24 = 96. now we have3 places and 3 vowels = thus we have 6options. 96*6 = 576 answer.


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In how many way can you arrange

letters of the word DOGMATIC?There are 8 letters in DOGMATIC.

There is no repeatition.

Thus we have 8!

= 40320 answer.


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How many permutations can we

make from 10 different things, taking

4 at a time, when one particular

thing never comes?

We have (n-1)Pr formulae

Thus we have 9p49! / (5!)

= 362880 / (120)

=3024 answer.


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6 boys and 5 girls will sit together

for photograph. In how many ways,

can they sit together, if no two boys

sit together?We have 6 places for boys. Thus 6p6 =

720.

We have one place in between 2 boys,thus we have 5p5 options for girls. Thus

we have 120 options.

720 * 120 = 86400 answer.


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ABOUT A FTERSCH OOOLAfterschoool conducts three year integrated PGPSE (after

class 12th along with IAS / CA / CS) and 18 month PGPSE

(Post Graduate Programme in Social Entrepreneurship)

along with preparation forCS / CFP / CFA /CMA / FRM. This

course is also available online also. It also conductsworkshops on social entrepreneurship in schools and

colleges all over India start social entrepreneurship club in

your institution today with the help from afterschoool and help

us in developing society.


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Why such a programme? To promote people to take up entrepreneurship

and help develop the society

To enable people to take up franchising andother such options to start a business / social

development project

To enable people to take up social

development as their mission To enable people to promote spirituality and

positive thinking in the world


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Who are our supporters?Afterschoolians, our past beneficiaries,

entrepreneurs and social entrepreneurs

are supporting us.You can also support us not

necessarily by money but by being

promotor of our concept and our ideas.


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About AFTERSCHOOOL PGPSE the best

programme for developing great entrepreneurs

Most flexible, adaptive but rigorous programme

Available in distance learning mode

Case study focused- latest cases Industry oriented practical curriculum

Designed to make you entrepreneurs not just

an employee

Option to take up part time job so earn while

you learn

The only absolutely free course on internet


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Workshops from

AFTERSCHOOOL IIF, Delhi CIPS, Jaipur ICSI Hyderabad Branch Gyan Vihar, Jaipur Apex Institute of Management, Jaipur Aravali Institute of Management, Jodhpur Xavier Institute of Management,

Bhubaneshwar Pacific Institute, Udaipur Engineering College, Hyderabad


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Flexible Specialisations: Spiritualising business and society Rural development and transformation HRD and Education, Social Development NGO and voluntary work Investment analysis,microfinance and inclusion Retail sector, BPO, KPO Accounting & Information system (with CA / CS /CMA) Hospital management and Health care

Hospitality sector and culture and heritage Other sectors of high growth, high technology and social

relevance


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Salient features: The only programme of its kind (in the whole world) No publicity and low profile course For those who want to achieve success in life not just a

degree

Indepth knowledge and expertise Professional approac: World class approach Strong intellectual and business capabilities Flexible you may stay for a month and continue the rest of

the education by distance mode. / you may attend weekendclasses

Scholarships for those from poor economic background Latest and constantly changing curriculum keeping pace

with the time Placement for those who are interested Admissions open throughout the year

Latest and most advanced technologies, books and studymaterial


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Components Pedagogy curriculum and approach based on IIM Ahmedabad and ISB

Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad) Meditation, spiritualisation, and self development Essential softwares for business Business plan, Research projects Participation in conferences / seminars Workshops on leadership, team building etc. Written submissions of research projects/articles / papers Interview of entrepreneurs, writing biographies of entrepreneurs Editing of journals / newsletters

Consultancy / research projects Assignments, communication skill workshops Participation in conferences and seminars Group discussions, mock interviews, self development diaryng Mind Power Training & writing workshop (by Dr. T.K.Jain)


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Pedagogy

Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games,

Visits to entrepreneurs and industrial visits Presentations, Latest audio-visuals Group discussions and group projects Periodic self assessment

Mentoring and counselling Study exchange programme (with institutions out of India) Rural development / Social welfare projects


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Branches

AFTERSCHOOOL will shortly open itsbranches in important cities in Indiaincluding Delhi, Kota, Mumbai, Gurgaonand other important cities.Afterschooolians will be responsible formanaging and developing these

branches and for promoting socialentrepreneurs.


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Case Studies

We want to write case studies on social

entrepreneurs, first generation

entrepreneurs, ethical entrepreneurs.Please help us in this process. Help us

to be in touch with entrepreneurs, so that

we may develop entrepreneurs.


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Basic values at afterschoool

Share to learn more Interact to develop yourself Fear is your worst enemy Make mistakes to learn Study & discuss in a group Criticism is the healthy route to mutual support

and help Ask fundamental questions : why, when, how

& where? Embrace change and compete with yourself

only


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www.afterschoool.tk

social entrepreneurship for better

society
http://www.afterschoool.tk/http://www.afterschoool.tk/

Documents

28 July Business Mathematics