Combinations / Permutations / Probability

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?

• Permutation

• Combination

• Neither

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?

• Permutation

• Combination

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

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

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

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

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