Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A. 5200

B. 15200

C. 25200

D. 35200

View Answer

1

Correct Answer :
25200

Explanation :

Number of ways of selecting (3 consonants from 7) and (2 vowels from 4)

= 7C3 x 4C2

= 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 ways = (210 x 120) = 25200

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