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

In how many different ways can letters of the word OFFICES be arranged? Correct Answer 2520

The given word contains 7 letters of which F is taken 2 times.
∴ Required number of ways
$$\eqalign{ & = \frac{{7!}}{{2!}} \cr & = \frac{{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{{2 \times 1}} \cr & = 2520 \cr} $$

Related Questions

Statements : Some houses are offices. Some offices are schools.

Conclusions :
I. Some schools are houses.
II. Some offices are houses.
III. No house is school.
IV. Some schools are offices.