Question

How many words can be formed from the letters of the word ${}^{\prime }AFTE{R}^{\prime }$ so that the vowels never come together?

• A. $72$
• B. $120$
• C. $48$
• D. $52$

Answer 1

The correct option is A $72$

AFTER

Total number of ways $5!=120$

The number of ways when vowel would be together $=4!\times 2!=48$

Number of ways when vowels are never together $=120-48=72$