In how many different ways can the letters of the word ABSENTEE be arranged?
A
512
B
6720
C
9740
D
40320
E
None of these
Correct Answer: 6720
The given word contains 8 letters of which E is taken 3 times.∴ Required number of ways
$$\eqalign{ & = \frac{{8!}}{{3!}} \cr & = \frac{{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}}{6} \cr & = 6720 \cr} $$