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
