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Permutations & Combinations

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.

Determine whether the question would be a permutation or combination: Five students from 90 will be selected to count ballots for the Class President election. How many groups of 5 students could be selected to count ballots?

a)

Permutation

b)

Combination

c)

Neither

2.

Determine whether the question would be a permutation or combination: Twenty students are running for 3 different positions on student council. In how many ways can the 3 positions be filled?

a)

Permutation

b)

Combination

3.

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?

a)

Combination

b)

Permutation

c)

Neither

4.

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?

a)

Permutation

b)

Combination

c)

Neither

5.

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?

a)

Permutation

b)

Combination

c)

Neither

6.

Determine whether the question would be a permutation or combination, then answer the question.

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

(a)  

7.

Determine permutation or combination, then answer the question.

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

(a)  

8.

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

(a)  

9.

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

(a)  

10.

Determine permutation or combination, then answer the question.

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

Write your answer as a number. Ex: 5040

(a)