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?

##10## different ways

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.