Letters of the word DIRECTOR are arranged in such a way that all the vowel come together .Find the No of ways making such arrangement?

Word - DIRECTOR 

So “I,E,O” are there are 3! ways to arrange the vowels

Now “D,R,C,T,R” are the remaining alphabets ,

Condition is that the vowels should always be together so we can assume the vowels as a single alphabet/unit say “X” (‘X’=’I,E,O’) so now we have a new word - “D,R,C,T,R,X”. Here, 'R' is repeated.

Possible arrangements for this word = 6!/2!

Thus total number of ways to rearrange DIRECTOR with vowels grouped together = (Possible arrangements of ‘DRCTRX’) $$\times$$ (Possible arrangements of vowels)

= 6! $$\times$$ 3!/2! = $$720 \times 3 = 2160$$

=> Ans - (A)