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Permutations Practice Test 2
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© examsnet.com
Question : 10
Total: 30
All the letters of the word EAMCET are arranged in possible ways. The number of such arrangementin which not two vowels are adjacent to each other is:
360
144
72
54
Validate
Solution:
First we place 3 consonant in 3! ways and then at four places (2 between them and 2 on sides) 3 vowels in which one vowel is repeated can be placed in
4
P
3
2
!
ways.
Hence, required number
=
3
!
.
4
P
3
2
!
=
72
.
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