Question

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

• A. 2520
• B. 5040
• C. 1850
• D. 1680
• E. None of these

Answer 1

The correct option is A 2520

The word OFFICES consists of 7 letters out of which 'F' comes twice.
$\therefore$ Total number of arrangements $=\frac{7!}{2!}$
$=\frac{7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 1}=2520$