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Examveda

How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?

A. 16C7 × 7!

B. 12C4 × 4C3 × 7!

C. 12C3 × 4C4

D. 11C4 × 4C3

Answer: Option B

Solution(By Examveda Team)

4 consonants out of 12 can be selected in,
12C4 ways.
3 vowels can be selected in 4C3 ways.
Therefore, total number of groups each containing 4 consonants and 3 vowels,
= 12C4 × 4C3 Each group contains 7 letters, which can be arranging in 7! ways.
Therefore required number of words,
= 12C4 × 4C3 × 7!

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