Bunuel wrote:

In how many ways can you arrange the letters "APTITUDE" so as to form words that begin and end with a vowel?

A. 640

B. 1280

C. 4320

D. 8640

E. 9860

There are 4 vowels AIEU

SO 1st letter can be taken in 4 ways

Last letter can be taken in 3 ways

Middle letters can be arranged in 6! ways from 6 letters left.

So total ways = 4*3*6!

But there are 2 T's so we need to divide total arrangement by 2! to compensate the duplicate of words.

Total required no. words formed = 4*3*6!/2! = 4320

Answer C
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