Question

How many different ways can you choose 3 vowels out of the box, if there are 5 vowels in the box and order does not matter?

Answer 1

`10` different ways

Explanation:

There are 5 vowels and we need to take 3 and order does not matter. Therefore, this is a combination problem. For example,
`A, E, O`, and `E,O,A` and `O, E, A` means the same

For combination

`nCr=(n!)/((n-r)!*r!)`

Let `n=5` and `r=3`

`nCr=(n!)/((n-r)!*r!)`

`5C3=(5!)/((5-3)!*3!)`

`5C3=10" "`different ways

God bless...I hope the explanation is useful.