Quiz about Combinations vs. Permutations vs. Counting Principle

Question 1

Describe the Type of Problem:

Ben has to pick 2 kittens from a litter of 4.

Accepted Answer

Combination

Answer

Permutation

Answer

Fundamental Counting Principle

Question 2

Describe the Type of Problem:

In a town election, there are 10 people running for Trustee, Plow-Man, and Landscaper

Accepted Answer

Permutation

Answer

Combination

Answer

Fundamental Counting Principle

Question 3

Describe the Type of Problem:

How many ways can 5 people be arranged in a line?

Accepted Answer

Permutation

Answer

Combination

Answer

Fundamental Counting Principle

Question 4

Describe the Type of Problem:

Jimbo has 5 hats, 6 ties, and 3 watches to choose from when making an outfit.

Accepted Answer

Fundamental Counting Principle

Answer

Combination

Answer

Permutation

Question 5

Describe the Type of Problem:

There are 24 applicants for 2 identical jobs at Taco Bell

Accepted Answer

Combination

Answer

Permutation

Answer

Fundamental Counting Principle

Question 6

Describe the Type of Problem:

You and 2 friends are selecting seats at an event (where the seats are numbered).

Accepted Answer

Permutation

Answer

Combination

Answer

Fundamental Counting Principle

Question 7

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

Accepted Answer

60

Answer

12

Answer

15

Question 8

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

Accepted Answer

840

Answer

5040

Answer

35

Answer

28

Question 9

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

Accepted Answer

20

Answer

120

Answer

6

Answer

18

Question 10

How many basketball games are played in a 10-team league if each team plays all other teams TWICE?

Accepted Answer

90

Answer

45

Answer

180

Answer

100

Question 11

Choosing 3 toppings for your sundae out of a list of 15.

Accepted Answer

Combination

Answer

Permutation

Answer

Neither

Question 12

Selecting a four representatives for the student board.

Accepted Answer

Combination

Answer

Permutation

Question 13

Runners finishing 1st, 2nd, and 3rd in a race.

Accepted Answer

Permutation

Answer

Combination

Question 14

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

Accepted Answer

3628800

Answer

1

Answer

100

Answer

1814400

Question 15

Arranging letters to make a password.

Accepted Answer

Permutation

Answer

Combination

Question 16

Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the questions?

Accepted Answer

32768

Answer

1024

Answer

32

Answer

25

Question 17

Ms. Maguire has five pairs of pants, nine sweaters, and six scarves. How many different outfits can she make consisting of one pair of pants, one sweater, and one scarf?

Accepted Answer

270

Answer

45

Answer

30

Answer

54

Combinations vs. Permutations vs. Counting Principle

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