Question

N how many different ways can the letters of the word corporation be arranged so that the vowels always come together?

Answer 1

CORPORATION

Total letters :- 11

R repeated 2 times

O repeated 3 times

Vowels :- O,O,O , A , I

consonants :- C,R,R,P,T,N

Make group:- Make group of vowels as (( 5!/3!)) in its own group.

Remaining arrangement :- 7!/2!

TOTAL WAYS :- 7!*5!/2!*3!

= 2520 * 20

= 50400