FCP, Combinations, and Permutations

Front

What is the Fundamental Counting Principle (FCP)?

Back

The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m × n ways to perform both actions.

Front

How many ways can you choose 5 candy bars from 14 types?

Back

2002

Front

What is a combination?

Back

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

Front

What is a permutation?

Back

A permutation is an arrangement of items where the order does matter.

Front

When is a problem classified as a combination?

Back

A problem is classified as a combination when you are selecting items without regard to the order.

Front

When is a problem classified as a permutation?

Back

A problem is classified as a permutation when the arrangement or order of selection is important.

Front

How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80

Front

What is the formula for combinations?

Back

The formula for combinations is 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

The formula for permutations is 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 3 friends and want to arrange them in a line, what type of problem is this?

Back

Permutation.