Question

How many words can be formed out of the letter of the words 'ORIENTAL' so that the vowals always occupy the odd places

Answer 1

ORIENTAL

_ _ _ _ _ _ _ _

we have 8 blanks and 4 vowels

there are 4 odd places

arrange the 4 vowels in 4! ways = 24

arrange remaining in 4! ways = 24

total ways = 24 X 24 = 576