Question

How many ways can the letters of the word MINUTES be arranged in a row if M and I must remain next to each other as either MI or IM

Answer 1

1440 ways

Explanation:

First, we must consider how many letters are in the word "minutes"

7.

This means that the word "minutes" can be arranged in 7! ways, or simply put in 5040 ways.

But then, we're interested in how many ways it can be arranged with I and M besides each other.

In how many ways can the word be arranged with the letters "MI" together

We would have, "MI, N, U, T, E, S" which happens to be 6!, or say 720 ways.

In how many ways can the word be arranged with the letters "IM" together

We would have, "IM, N, U, T, E, S"

which happens to be 6! or again, 720 ways.

Then, the number of ways it can be arranged with "IM" or "MI" together is

720 + 720, and therefore 1440 ways

Answer 2

1440 combinations ways

Explanation:

We know that the total arrangements will be

6!= 720 because its a 6letter word

So if we take MI to be a one letter word

Same for IM

which will Also be 6!= 720

SO TOTAL possible combination will be 720+720= 1440