Question

73. In how many different ways can the letters of the word MAGAZINE be arranged so that vowels always come together? 1) 1020 2) 720 3) 1440 4)2880 5) None of these ​

Answer 1

Answer:

This is my answer in the Explanation

Explanation:

In the word 'MATHEMATICS', we'll consider all the vowels AEAI together as one letter.

Thus, we have MTHMTCS (AEAI).

Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice

Number of ways of arranging these letters =8! / ((2!)(2!))= 10080.

Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.

Number of ways of arranging these letters =4! / 2!= 12.

Required number of words = (10080 x 12) = 120960