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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
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B
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C
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D
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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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