# In how many ways (P & C) problem?

#1

In how many different ways can the letters of the word ‘OFFICES’ be arranged?

#2

The word ‘OFFICES’ consists of 7 letters out of which letter ‘F’ comes twice.

The total number of arrangements = $\frac{7!}{2!}$ = $\frac{7 . 6 . 5 . 4 . 3. 2!}{2!}$ = 2520

The letters of the word ‘OFFICES’ can be arranged in 2520 ways.