[25200] Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

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Aptitude

TNPSC G4

10th CBSE Maths

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

210

1050

25200

21400

Explanation:
Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = (7C37C3*4C24C2)

= 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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