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 a combination?

Back

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

Front

How do you calculate permutations of n objects taken r at a time?

Back

The formula is nPr = n! / (n - r)!

Front

How do you calculate combinations of n objects taken r at a time?

Back

The formula is nCr = n! / (r! * (n - r)!)

Front

What is the value of 5P3?

Back

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

Front

What is the value of 8C3?

Back

8C3 = 8! / (3! * (8 - 3)!) = 56.

Front

If you have 4 different books, how many ways can you arrange them?

Back

4! = 24 ways.

Front

In how many ways can you select 2 students from a group of 10?

Back

10C2 = 45 ways.

Front

What is the difference between permutations and combinations?

Back

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

Front

How many ways can a stylist arrange 5 of 8 vases from left to right?

Back

6720 ways.