Question

out of 7 consonants and vowels how many words of 3 consonants and 2 vowels can be formed

Answer 1

66

Q:

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

A) 25200B) 52000C) 120D) 24400

Answer:   A) 25200 

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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