Q. In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appearA.6!/2!

together?

C.4!/2!B. 3!*3!

D.4!*3!/2!

E.3!*3!/2!

Answer is 4!* 3!/2!

Explanation: If we take all vowel as a single letter then BCS(AAU) total 4 letter can be arranged in 4! way.

Now three vowel can be arranged in 3!/2! ways. ( As in three vowel there is 2 'A' for this it is divided by 2!)

So total way is 4!*3!/2!