# How many different words can be formed with the letters of word 'SUNDAY'?

Question:

How many different words can be formed with the letters of word 'SUNDAY'? How many of the words begin with N? How many begin with N and end in Y?

Solution:

Total number of words that can be formed with the letters of the word SUNDAY = 6! = 720

Now, if we fix the first letter as N, the remaining 5 places can be filled with the remaining 5 letters in 5! ways, i.e. 120.

If we fix the first letter as N and the last word as Y:

Remaining 4 places can be filled with 4 letters in 4! ways = 24