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Powerpoint Jeopardy Mixture Sets Mixture Venn Diagrams Mixture 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

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Page 1: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

Powerpoint JeopardyMixture Sets Mixture Venn Diagrams Mixture

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

Page 2: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

How many different outfits could be formedwith two skirts and three blouses.

Show the different options using a tree diagram.

Page 3: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

A home owner’s association is to elect achairman and a secretary. There are four

candidates for chairman and five candidatesfor secretary. In how many different can

the officers be slated?

Page 4: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

A quiz consists of four multiple choice questions with five possible responses to each

question. In how many different ways canthe quiz be answered?

Page 5: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

Jamie goes to the food court to get a salad and sandwich for lunch. The Daily Deli has 5

varieties of sandwiches and 2 salads. BetterBites has 3 varieties of sandwiches and 6 salads.The Lunch Spot has 8 varieties of sandwichesand 5 salads. Determine the number of ways

she can select a sandwich and salad.

Page 6: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

In how many arrangements can 3 men and 3women be seated in a row if no one sits next to

a member of the same gender?

Page 7: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

What is the symbol for element?

Page 8: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

A = set of all positive even integersB = set of all positive multiples of 3

Describe and list the elements in the intersectionof the two sets.

Page 9: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

A = all multiples of 3B = all multiples of 4

Are sets A & B disjoint?

Page 10: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

List all of the elements of the set{x | (x + 2)(x – 5)(x – 7) = 0}

Page 11: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

A is the set of students at Winfield CollegeWho had a 4.0 GPA for the Fall Semester.B is the set of students at Winfield College

Who had a 4.0 GPA for the Spring Semester.

1.Describe the union of A & B2.Describe the intersection of A & B

3.Is A a subset of B?

Page 12: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

A = {a, b, c, d, e, f}B = {a, e, i, o, u, y}

Compute n(A), n(B), n(A and B) and n(A or B)

Page 13: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

The union of A & B has 48 elements.Set A contains 27 elements.Set B contains 30 elements.

How many elements are in the intersectionof A & B?

Page 14: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

Evaluate P(4, 3)WITHOUT a calculator.

Page 15: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

Eight guys are candidates for the “Big Man on Campus” competition.

In how many ways can 1st, 2nd, and 3rd placebe awarded?

Page 16: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

In how many ways can the letters of the wordREARRANGE

be permuted?

Page 17: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

A = {a, b, c, d, e, f, g, x, y, z}B = {c, r, a, z, y}

Find …n(A), n(B), n(A and B), n(A or B)

Page 18: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

Two sets are formed using 100 elements.There are 60 elements in one set and 75 in theother. How many sets are in the intersection

of the two sets?

Page 19: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

If a universal set contains 500 elements,n(A) = 240, n(A or B) = 460, n(A & B) = 55.

Find n(B’).

Page 20: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

Given two sets A and B where n(A) = 5,n(B) = 10 and n(A or B) = 15.

Find the intersection of A and B.What is the intersection of A and B?

Page 21: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

Charlie interviewed 135 students for his Sociology project:

65 said they like to go to the movies77 said they like to go to football games

61 said they like to go to the theater28 said they like movies & football games

25 said they like movies & the theater29 said they like to attend football games & the theater

8 said they like to attend all three4 said they don’t like to attend any of them

The professor refused to accept Charlie’s paper because theinformation was inconsistent. Was the professor justified

in claiming the information was inconsistent?

Page 22: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

Professor Sendon and Professor Barr werecomparing their class rolls. They observed thatProfessor Sendon had 28 students, Professor

Barr had 21 students, and 4 students wereenrolled in both classes. If they held a joint

meeting of their classes and all students attend, how many students are present?

Page 23: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

The Student Life Committee asks that 2members from a service club attend the nextcommittee meeting. The two students will

be selected from one of the following serviceclubs: Alpha Club with 22 members, Beta Club

with 19 members, Gamma Club with 25members, and Zeta Club with 14 members.

In how many ways can the 2 students be selected?

Page 24: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

A committee of 5 people is selected from a group of 6 men and 7 women. In how many

ways can the committee be selected so it contains at least one woman?

Page 25: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

An Honor Council consists of 4 seniors, 4juniors, 3 sophomores, and 1 freshman.

15 seniors, 20 juniors, 25 sophomores, and11 freshman apply. In how many ways can the

Honor Council be selected?

Page 26: Powerpoint Jeopardy MixtureSetsMixtureVenn DiagramsMixture 10 20 30 40 50

How many different words are possible usingall the letters of the letters of …

… RELAX?… PUPPY?

… OFFICIAL?