Permutations and Combinations

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

Back

Front

How many ways can you arrange 7 books on a shelf?

Back

There are 5,040 different ways to arrange 7 books.

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 the formula for combinations of n objects taken r at a time?

Back

Front

How many committees of 3 can be formed from 8 people?

Back

There are 56 different committees that can be formed.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of arrangement, while combinations do not.

Front

If you have 5 different shirts, how many ways can you choose 2 shirts?

Back

You can choose 2 shirts in 10 different ways.

Front

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

Back

Front

How do you calculate the number of ways to arrange n distinct objects?

Back