Fundamental Counting Principle, Permutations and Combination

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

• Neither

• Permutation

• Combination

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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

• 56

• 336

• 24

• 512

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.2

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

Tags

CCSS.HSS.CP.B.9

Suppose a club has 20 members. In how many different ways could the club choose a president, vice-president, and secretary?

• 6

• 60

• 1140

• 6840

Tags

CCSS.HSS.CP.B.9

Suppose there were 15 business people at a meeting. At the end of the meeting, each person at the meeting shook hands with every other person. How many handshakes were there?

• 105

• 210

• 225

• 120

Tags

CCSS.HSS.CP.B.9

Describe the Type of Problem:

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

• Combination

• Permutation

• Fundamental Counting Principle

Tags

CCSS.HSS.CP.B.9

Describe the Type of Problem:

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

• Combination

• Permutation

• Fundamental Counting Principle

Tags

CCSS.HSS.CP.B.9