Permutation or Combination?

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The order matters in permutations.

Front

What is a combination?

Back

A combination is a selection of objects where the order does not matter. Only the group of objects is important.

Front

How many ways can you arrange 3 digits from the numbers 6, 2, and 4?

Back

6 ways (624, 642, 264, 246, 426, 462). This is a permutation.

Front

How many ways can you choose 3 appetizers from a selection of 5?

Back

10 ways. This is a combination.

Front

How many ways can 8 runners finish in 1st, 2nd, or 3rd place?

Back

336 ways. This is a permutation.

Front

How many ways can you choose 10 students from a group of 34?

Back

7,059,052 ways. This is a combination.

Front

How many ways can you select 4 prize winners from 15 attendees?

Back

1,365 ways. This is a combination.

Front

When do you use permutations?

Back

Use permutations when the order of selection is important.

Front

When do you use combinations?

Back

Use combinations when the order of selection is not important.

Front

What is the formula for permutations of n objects taken r at a time?

Back

P(n, r) = n! / (n - r)!.