How many words can be formed from the letters of the word “AFTER”, so that the vowels never come together ?



How many words can be formed from the letters of the word AFTER, so that the vowels never come together ?

A. 48

B. 52

C. 72

D. 120

Answer : C. 72


Explanation:


    We need to find the ways that vowels NEVER come together.
    Vowels are A, E Let the word be FTR(AE) having 4 words.
    Total ways = 4! = 24
    Vowels can have total ways 2! = 2
    Number of ways having vowel together = 48
    Total number of words using all letter = 5! = 120.
    Number of words having vowels never together = 120 - 48 = 72


Related Searches to How many words can be formed from the letters of the word “AFTER”, so that the vowels never come together ?