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Examveda

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

A. 360

B. 720

C. 5040

D. 2520

E. None of these

Answer: Option D

Solution(By Examveda Team)

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

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