Maths Permutations & Combination Definition of Permutation, Number of Permutations With or Without Repetition, Conditional Permutations Single Correct MCQ
Published on: August 14, 2026

All the letters of the word ‘EAMCET’ are arranged in all possible ways. The number of such arrangement in which two vowels are not adjacent to each other is

A
360
B
114
C
72
D
54

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Text Solution

Verified by Experts
The correct answer is:
C

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 ways.

Hence the required ways = 3 ! × .

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