Question

In how many ways can the letters of

the word "COMPUTER" be arranged so that
i) all vowels are
always together?
ii) the relative positions of the vowels and
consonants are not changed?​

Answer 1

Explanation:

The vowels in the word "COMPUTER"

are O, U and E.

Part (i):

Number of ways = 5! * (6 * 3!) = 4,320 ways.

Part (ii):

Number of ways = 5! * 3! = 720 ways.