Quiz about Permutation & Combination

Question 1

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

Accepted Answer

6

Answer

3

Answer

1

Question 2

Prgya is stringing 3 different types of beads on a bracelet. How many ways can she string the next three beads if they must include one bead of each type?

Accepted Answer

6

Answer

1

Answer

3

Question 3

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

Accepted Answer

336

Answer

56

Answer

24

Question 4

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

Accepted Answer

1 365

Answer

32 760

Answer

60

Question 5

Four students need to be selected from a class of 15 to help clean up the campus. How many different ways can the 4 students be chosen, if the only two girls refuse to help?

Accepted Answer

715

Answer

1 365

Answer

120

Question 6

When ordering a pizza, you can choose 2 toppings from the following: mushrooms, olives, pepperoni, pineapple, and sausage. How many different types of pizza can you order?

Accepted Answer

10

Answer

20

Answer

30

Question 7

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

Accepted Answer

10

Answer

5

Answer

15

Question 8

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

Accepted Answer

504

Answer

84

Answer

9!

Answer

3!

Question 9

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

Accepted Answer

30

Answer

1

Answer

5!

Answer

6!

Question 10

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

Accepted Answer

20

Answer

6!

Answer

120

Answer

3!

Question 11

How would you solve?
A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

Accepted Answer

Combination

Answer

Permutation

Answer

Factorial

Answer

MPC

Question 12

How would you solve?
The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

Accepted Answer

MPC

Answer

Permutation

Answer

Combination

Answer

Factorial

Question 13

A committee that consist of 6 teachers is to be chosen from 4 male teachers and 5 female teachers. Find the number of different committee that can be formed if 3 male teachers and 3 female teachers are required in the committee.

Accepted Answer

40

Answer

120

Answer

60

Answer

84

Question 14

From a group of 4 boys and 3 girls, in how many ways can we form a group 3 with at least 2 girls?

Accepted Answer

13

Answer

35

Answer

12

Answer

19

Question 15

A student has to answer 8 questions in a 10-question test. If she has to answer at least 3 questions of the first 4, in how many ways can she select the questions?

Accepted Answer

39

Answer

44

Answer

45

Answer

24

Question 16

7P2

Accepted Answer

42

Answer

0

Answer

7

Answer

210

Question 17

8P3

Accepted Answer

336

Answer

1

Answer

8

Answer

56

Question 18

25C1

Accepted Answer

25

Answer

50

Answer

300

Answer

230

Question 19

12C3

Accepted Answer

220

Answer

36

Answer

66

Answer

500

Permutation & Combination

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