Question

How many different words can be made using the letters of the word hallucination if all consonants are together?

Answer 1

Hey mate!

Is repetition allowed?

Pls tell me fast. Then only I can solve this

Answer 2

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!7!2!x 1/2! .

But the 7 consonants  can be arranged themselves in  7!2!7!2! x 1/2! ways. 

 

Hence the required number of ways = (7!2!2!)27!2!2!2 = 1587600