Q:
Out of seven consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?
Answer & Explanation
Answer: A) 25200
Explanation: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) =( ) = 210.
Number of groups, each having 3 consonants and 2 vowels =210
Each group contains 5 letters.
Number of ways of arranging 5 letters among themselves = 5! = 120.
Required number of words = (210 x 120) = 25200.
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