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

Answer: Option D

The given word contains 7 letters, all different .
∴ Required number of ways
$$\begin{array}{rl}& {}^7{P}_7=7!\\ & =\left(7\times 6\times 5\times 4\times 3\times 2\times 1\right)\\ & =5040\end{array}$$