Arithmetic Ability
Permutations and Combinations

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Q.

How many different words can be made using the letters of the word ' HALLUCINATION ' if all constants are together?

View Answer

Correct choice: B

Explanation:

H L C N T A U I O L N A I There are total 131 letters out of which 7 are consonants and 6 are vowels. Also ther are 2L's , 2N's, 2A's and 2I's. If all the consonants are together then the numberof arrangements = 7!/2!x 1/2! . But the 7 consonants can be arranged themselves in 7!/2! x 1/2! ways. Hence the required number of ways = (7!/2!2!)2 = 1587600
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