Counting Principle, Permutations and Combinations

Evaluate ₇C₇

• 5040

• 49

• 7

• 1

Four names will chosen randomly from a list of twenty entries to be in a group that travels to Europe. How many unique possibilities are there?

• 80

• 4,845

• 116,280

• 160,000

Ten marching bands qualified for finals. If their performance order is random, how many ways can the final four performances be listed?

• 5,040

• 720

• 24

• 40

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

• Combination

• Permutation

• Fundamental Counting Principle

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

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

Describe the Type of Problem:

There are 24 applicants for 2 identical jobs at Taco Bell

• Combination

• Permutation

• Fundamental Counting Principle

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

• Combination

• Permutation

• Fundamental Counting Principle