Permutation v. Combination

Front

What is a Permutation?

Back

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

Front

What is a Combination?

Back

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

Front

In how many ways can you arrange 3 books from a shelf of 5 books?

Back

60 ways (5P3 = 5! / (5-3)! = 60).

Front

If you have 4 different colored balls, how many ways can you choose 2 balls?

Back

6 ways (4C2 = 4! / (2!(4-2)!) = 6).

Front

What is the formula for 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 is the formula for 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

If a team of 5 players needs to select a captain and a co-captain, is this a permutation or combination?

Back

Permutation - the order matters.

Front

How many ways can you select 3 toppings from a choice of 10 for a pizza?

Back

120 ways (10C3 = 10! / (3!(10-3)!) = 120).

Front

What is a real-world example of a combination?

Back

Choosing a committee from a group of people where the order of selection does not matter.

Front

What is a real-world example of a permutation?

Back

Arranging books on a shelf where the order of the books matters.