Combinations and Permutations Review

Front

What is a combination?

Back

A selection of items where the order does not matter.

Front

What is a permutation?

Back

An arrangement of items where the order does matter.

Front

How many ways can you choose 3 players from a team of 18?

Back

816 ways.

Front

Is choosing 3 books to read from a list of 10 a permutation, combination, or neither?

Back

Combination.

Front

How many different teams of 4 players can be formed from 9 players?

Back

126 different teams.

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n - r)!) where n is the total items and r is the items chosen.

Front

What is the formula for permutations?

Back

P(n, r) = n! / (n - r)! where n is the total items and r is the items arranged.

Front

If the batting order for 8 players on a 10 person team is considered, is it a permutation, combination, or neither?

Back

Permutation.

Front

How many ways can 15 people finish a race if the top 8 advance?

Back

6,435 ways.

Front

What does 'n!' represent in mathematics?

Back

The factorial of n, which is the product of all positive integers up to n.