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

Answer: Option A

The given words contains 6 letters of which A is taken 3 times, N is taken 2 times and the rest are all different.
∴ Required number of ways
$$\begin{array}{rl}& =\frac{6!}{3!\times 2!}\\ & =\frac{6\times 5\times 4\times 3\times 2\times 1}{6\times 2}\\ & =60\end{array}$$