Capstone Review: Combinations and Permutations

Front

What is the value of 8! (8 factorial)?

Back

40320

Front

How many ways can you choose a manager and assistant from a 9-person task force?

Back

72

Front

What is the difference between a permutation and a combination?

Back

A permutation is an arrangement of items where order matters, while a combination is a selection of items where order does not matter.

Front

What is a factorial?

Back

The product of all positive integers up to a given number n, denoted as n!.

Front

How many different ways can you arrange 5 books on a shelf?

Back

This is a permutation problem: 5! = 120.

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n - r)!), where n is the total number of items, and r is the number of items to choose.

Front

What is the formula for permutations?

Back

P(n, r) = n! / (n - r)!, where n is the total number of items, and r is the number of items to arrange.

Front

If you have 10 different shirts, how many ways can you choose 3 shirts?

Back

This is a combination problem: C(10, 3) = 120.

Front

What is an example of a permutation?

Back

Arranging 3 students in a line.

Front

What is an example of a combination?

Back

Choosing 4 students for a class committee.