Question
In how many different ways can letters of the word OFFICES be arranged?
Answer: Option A
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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The given word contains 7 letters of which F is taken 2 times.
∴ Required number of ways
$$\eqalign{
& = \frac{{7!}}{{2!}} \cr
& = \frac{{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{{2 \times 1}} \cr
& = 2520 \cr} $$
Was this answer helpful ?
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