Honors- GC Permutations and Combinations

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

Example of a combination: Choose 4 students in a class committee. Is this a combination or permutation?

Back

Combination.

Front

Example of a permutation: The batting order for seven players on a 12 person team. Is this a combination or permutation?

Back

Permutation.

Front

When is a situation considered a combination?

Back

When the order of selection does not affect the outcome.

Front

When is a situation considered a permutation?

Back

When the order of selection affects the outcome.

Front

Example of a combination: Deciding which countries to skip from a list of 13. Is this a combination or permutation?

Back

Combination.

Front

Example of a permutation: Choosing a captain and co-captain from a team of players. Is this a combination or permutation?

Back

Permutation.

Front

How many ways can you choose 3 out of 10 items?

Back

This is a combination problem, calculated as 10C3 = 120.

Front

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

Back

This is a permutation problem, calculated as 5! = 120.