Combinations

Front

What is a combination?

Back

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

Front

What is a permutation?

Back

An arrangement of items from a larger set where the order does matter.

Front

How do you calculate combinations?

Back

The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of items, and r is the number of items to choose.

Front

How do you calculate permutations?

Back

The formula for permutations is nPr = n! / (n-r)!, where n is the total number of items, and r is the number of items to arrange.

Front

What does 9C9 equal?

Back

1, because there is only one way to choose all items from a set.

Front

If you have 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes, how many outfits can you create?

Back

80 outfits, calculated as 5 * 8 * 2.

Front

In the scenario of selecting a lead and an understudy for a school play, is this a permutation or combination?

Back

Permutation, because the order of selection matters.

Front

If a bakery has 8 pies and Ashlyn wants to choose 3, how many combinations can she make?

Back

56 combinations, calculated using the combination formula 8C3.

Front

What is the difference between combinations and permutations?

Back

Combinations do not consider order, while permutations do.

Front

What is the factorial of a number (n!)?

Back

The product of all positive integers up to n.