Discussion of Question with ID = 077 under Permutations-and-Combinations

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Question

How many words can be formed with 6 distinct consonants and 2 distinct vowels such that vowels stay together at the end of each word?

A

1440.

B

1450.

C

1430.

D

1460.

Soln.
Ans: a

We have to basically create two parts - one containing 6 consonants and the other containing 2 vowels. The consonants can be arranged in 6 ! ways, and vowels in 2 ! ways. The total count will be 6 ! × 2 ! = 1440.


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