Counting Principle Permutations Combinations

Suppose that you have 12 books that are all different from each other. You've decided to let a friend borrow 3. How many different ways could your friend decide which books to borrow?

• 36

• 1728

• 1320

• 220

The batting order for eight players on a 10 person team. Is this a permutation, combination, or neither?

• Neither

• Permutation

• Combination

"The student body of 165 students wants to elect three representatives". Is this a permutation, combination, or neither?

• Combination

• Neither

• Permutation

There are 10 students at a meeting. They each give a Graduation Day card to everyone else. How many cards were given?

• 10

• 1

• 90

• 3,628,800

In a primary election, there are four candidates for mayor, five candidates for city treasurer, and two candidates for county attorney. In how many ways may voters mark their ballots if they vote in all three of the races?

• 11

• 1

• 40

• 4

In how many different ways can a committee of three people be selected from a total of eight?

• 56

• 336

• 24

• 512

An ice cream parlor has 15 different flavors. Michelle orders a sundae and has to select 3 flavors. How many different selections are possible?

• 2730

• 45

• 14,348,907

• 455

A man has 8 pairs of pants, 12 shirts, 15 ties, and 6 sport coats. If he wears one of each, how many different outfits can he wear?

• 41

• 8640

• 2,430,480

• 101,270

From a box of 16 color crayons, you select 4 as your favorites. How many different ways can you make this selection?

• 64

• 43,680

• 1820

• 20

From a class with 20 students, I need to select a group of 9 students to perform a top-secret mission. How many different ways can this group be selected?

• 167,960

• 60,949,324,800

• 180

• 362,880