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

In how many different ways can the letters of the word RIDDLED be arranged? Correct Answer 840

The given word contains 7 letters of which D is taken 3 times.
∴ Required number of ways
$$\eqalign{ & = \frac{{7!}}{{3!}} \cr & = \frac{{7 \times 6 \times 5 \times 4 \times 3!}}{{3!}} \cr & = \left( {7 \times 6 \times 5 \times 4} \right) \cr & = 840 \cr} $$

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