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In how many different ways can the letters of the word ABSENTEE be arranged?
Answer & Solution
Correct Answer:
Option
B
The given word contains 8 letters of which E is taken 3 times.
∴ Required number of ways
$$\eqalign{ & = \frac{{8!}}{{3!}} \cr & = \frac{{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{6} \cr & = 6720 \cr} $$
∴ 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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