Question

How many number of ways in which letters of the word MALYALAM be arranged so that the two M's are always together.?


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Answer 1

Answer:

420

Step-by-step explanation:

7p7 × 2p2 / 2p2 × 3p3×2p2 = 420

Answer 2

Answer:

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