Combinations Permutations

Determine whether the question would be a permutation or combination: Thirty-two students have applied to serve on student council, where all the positions are the same. There are only 6 openings. How many ways could the openings be filled?

• Combination

• Permutation

• Neither

Determine whether the question would be a permutation or combination: In how many ways can the nine starting players on a baseball team be strategically placed on the lineup?

• Permutation

• Combination

• Neither

Determine whether the question would be a permutation or combination: To complete a quiz, you must answer 3 questions from a list of 6 questions. In how many ways can you complete the quiz?

• Permutation

• Combination

• Neither

You have selected 8 books this summer and want to read 6 of them, one at a time. In how many ways can you read the books (the books are not in a series).

Write your answer as a number. Ex: 5040

You are watching a horse race with 8 horses. How many ways can you pick the first, second, and third place?

Write your answer as a number. Ex: 5040

In how many ways can you arrange 3 of the letters in the word TULIP?

Write your answer as a number. Ex: 5040

Determine permutation or combination, then answer the question. You are ordering a 2-topping pizza and can select the toppings from eight options. In how many different ways are there to order the pizza?

Write your answer as a number. Ex: 5040

Determine permutation or combination, then answer the question.

For your research paper, you find seven articles related to your topic. In how many ways can you select 5 articles to read?

Write your answer as a number. Ex: 5040

How would you solve? From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Counting Principles

• Factorial

• Combination

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?

• Permutation

• Combination

• Factorial

• Counting Principles