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In how many ways can the word ‘DOCUMENTATION’ be arranged so that all the consonants come together.

I am getting $\frac{7!}{2}*\frac{7!}{2!*2!}$.
yeah this seems to be correct

@Kabir5454 yeah I am also getting the same. I guess all options are wrong then.

@simi2426 yeah I think so.

DOCUMENTATION

All consonant together

DCMNNTT  =7!/2! *2!  (Use of permutation with limited repetition)

AEIOOU = 7!/2!

So  both subevents multiply (same here for repeated letter)

(7!/2! *2! )*(7!/2!)

### 1 comment

Yeah. Thats what I got. given options are incorrect

1 vote