Question

The letters of the word TUESDAY are arranged in a line, each arrangement ends in S.

1. How many different arrangements are possible?

2. How many of them start with letter D?

Answer 1

1. In the word TUESDAY there are 7 letters. When word end in S, there are only 6 possible arrangements. This can be done in 6! = 720

2. The word start with D and end in S, this can be done in 5! = 120.