Quiz about Permutations & Combinations

Question 1

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 2

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

Accepted Answer

56

Answer

336

Answer

24

Answer

100

Question 3

There are 14 candy bars for sale. How many ways can Andy choose five of them?

Accepted Answer

2002

Answer

240240

Answer

87178291200

Answer

70

Question 4

Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. If he can only choose one of each flavor,  how many cakes are possible?

Accepted Answer

105

Answer

35

Answer

573

Answer

21

Question 5

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

Accepted Answer

220

Answer

36

Answer

1320

Answer

100

Question 6

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

Accepted Answer

8!

Answer

8

Answer

64

Answer

56

Question 7

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 8

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

Answer

125

Question 9

20P2

Accepted Answer

380

Answer

20

Answer

6840

Answer

116280

Question 10

What does ₁₀P₅mean?

Accepted Answer

Permutations with 10 choices and 5 positions

Answer

Permutations with 5 choices and 10 positions

Answer

Permutations with 5 numbers and 10 operations

Answer

Permutations with 5 hot dogs and 10 drinks

Question 11

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

Accepted Answer

Combination

Answer

Permutation

Answer

Neither

Question 12

7!

Accepted Answer

5040

Answer

4050

Answer

5400

Answer

4500

Question 13

Two number cubes are rolled, then a spinner with 4 different colors on it is spun twice, then two coins are flipped. How many total possible outcomes are there?

Accepted Answer

2,304

Answer

4096

Answer

24

Answer

46,656

Question 14

Find the total number of outcomes for picking a day of the week and a month of the year.

Accepted Answer

84

Answer

19

Answer

60

Answer

210

Question 15

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

Accepted Answer

192

Answer

32

Answer

40,320

Answer

51,200

Question 16

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

Accepted Answer

permutation

Answer

combination

Answer

neither

Question 17

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

Accepted Answer

combination

Answer

permutation

Answer

neither

Question 18

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

Accepted Answer

combination

Answer

permutation

Answer

neither

Question 19

Which of the following is an example of combination?

Accepted Answer

Choose 4 students in a class committee

Answer

Form a passcode with 4 digits

Answer

Students line up in a queue to assembly

Answer

Choose the chairperson, secretary and treasurer in a club

Permutations & Combinations

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