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Examveda

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

A. 25

B. 36

C. 360

D. 720

E. None of these

Answer: Option C

Solution(By Examveda Team)

The given words contains 6 letters of which E is taken 2 times.
∴ Required number of ways
$$\eqalign{ & = \frac{{6!}}{{2!}} \cr & = \frac{{6 \times 5 \times 4 \times 3 \times 2!}}{{2!}} \cr & = 360 \cr} $$

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