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

Answer: Option C

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