Which is which?

Front

What is a combination?

Back

A combination is a selection of items from a larger set where the order does not matter.

Front

What is a permutation?

Back

A permutation is an arrangement of items from a larger set where the order does matter.

Front

When do you use combinations?

Back

Use combinations when the order of selection does not affect the outcome, such as choosing team members.

Front

When do you use permutations?

Back

Use permutations when the order of arrangement is important, such as seating arrangements.

Front

How many ways can you choose 3 side-dishes from 6 vegetable side-dishes and 4 starches if you want at least one of each?

Back

This is a combination problem.

Front

How many ways can you arrange 8 students in 8 seats?

Back

This is a permutation problem.

Front

If you have 8 books, how many ways can you arrange them on a shelf?

Back

This is a permutation problem.

Front

How do you determine the first, second, and third place winners in a contest?

Back

This is a permutation problem.

Front

How many ways can you form a committee of 6 men and 7 women from 10 men and 12 women?

Back

This is a combination problem.

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.