In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
ABACUSÂ
Vowels = AAUÂ
Remaining BCS
Now AAU will be considered 1 and B,C,S separateÂ
so these can be arranged in 4! waysÂ
Vowels AAU can be arranged in 3!/2! waysÂ
so total arrangements =Â $$\frac{4!\times\ 3!}{2!}$$
Create a FREE account and get: