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 toA. 60B. 120C. 7200D. none of these

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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