Question

# The number of five letter words containing 3 vowels and 2 consonants that can be formed using the letters of the word EQUATION so that two consonants occur together is

A
B
C
D

Solution

## The correct option is D Vowels (A,E,I,O,U) five, consonants (Q,T,N) three 3 vowels can be chosen in 5C3 ways 2 consonants can be chosen in 3C2 ways 2 consonants can be arranged in 2! Ways 3 vowels + 2 consonants bundle = 4 can be arranged in 4! Ways. ∴ required number words =5C33C22!4!Mathematics

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