##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.