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
$$\eqalign{ & = \frac{{7!}}{{2!}} \cr & = \frac{{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{{2 \times 1}} \cr & = 2520 \cr} $$
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Feb 20, 2025