In how many different ways can the letters of the word BANANA be arranged?
A
60
B
120
C
360
D
720
E
None of these
Correct Answer: 60
The given words contains 6 letters of which A is taken 3 times, N is taken 2 times and the rest are all different.∴ Required number of ways
$$\eqalign{ & = \frac{{6!}}{{3! \times 2!}} \cr & = \frac{{6 \times 5 \times 4 \times 3 \times 2 \times 1}}{{6 \times 2}} \cr & = 60 \cr} $$
