Q. 11

Mark the correct alternative in the following:

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

A. 60

B. 120

C. 7200

D. none of these

Answer :

2 out of 4 vowels can be chosen in 4C2 ways.


3 out of 5 consonants can be chosen in 5C3 ways.


Thus, there are (4C25C3) groups, each containing 2 vowels and 3 consonants.


Each group contains 5 letters that can be arranged in 5! Ways.


Required number of words =


(4C25C3) 5!


= 60 120


= 7200

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