Combinations Permutations Counting Principle

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

• Combination

• Permutation

• Fundamental Counting Principle

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

• 12

• 60

• 15

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

• 5040

• 35

• 28

• 840

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?

• 1
• 3628800
• 100
• 1814400

What is P(9,4)?

• 36

• 126

• 3024

• 362880

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625

• 4.36 X 10¹⁰

• 1,081,575

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?

• 45

• 270

• 30

• 54

Describe the Type of Problem:

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

• Combination

• Permutation

• Fundamental Counting Principle

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

Describe the Type of Problem:

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

• Combination

• Permutation

• Fundamental Counting Principle