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

In how many different ways can the letters of the word DISPLAY be arranged? Correct Answer 5040

The given word contains 7 letters, all different .
∴ Required number of ways
$$\eqalign{ & {}^7{P_7} = 7! \cr & = \left( {7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1} \right) \cr & = 5040 \cr} $$

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