Question

3!
4.
All the letters of the word 'EAMCET' are arranged in all possible ways. The number of such arrangements in
which two vowels are not adjacent to each other, is
(a) 54
(c) 114
(b) 72
(d) 360
​

Answer 1

First we arrange 3 consonants in 3! ways and then at four places (two places between them and two places on two sides)

3 vowels can be placed in 4P3 x 1/2! ways,

Hence, the required ways = 3! x 4P3 x 1/2! = 72.

Answer-b) 72