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

In how many different ways can the letters of the word ABSENTEE be arranged? Correct Answer 6720

The given word contains 8 letters of which E is taken 3 times.
∴ Required number of ways
$$\eqalign{ & = \frac{{8!}}{{3!}} \cr & = \frac{{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{6} \cr & = 6720 \cr} $$

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