Hello, ILoveMaths07!

First, find the number of permuations in which and are together.Calculate the number of permutations of the word CALENDAR

in which and are together, but and are not.

Duct-tape and together.

They could be: or . . . 2 ways.

We have 7 "letters" to arrange: .

. . They can be arranged in: . ways.

Hence, there are: . ways to have and together.

How many have and togetherandand together?

Duct-tape and together. There are 2 ways: . or

Duct-tape and together. There are 2 ways: . or

We have six "letters" to arrange: .

. . They can be arranged in: ways.

Hence, there are: . ways to have and together.

Therefore, there are: . ways

. . in which and are together, but and are not.