##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.

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