In how many different ways can letters of the word OFFICES be arranged?
Options:
A .  2520
B .  5040
C .  1850
D .  1680
E .  None of these
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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