In how many different ways can the letters of the word TOTAL be arranged?
A
45
B
60
C
72
D
120
E
None of these
Correct Answer: 60
The given word contains 5 letters of which T is taken 2 times.∴ Required number of ways
$$\eqalign{ & = \frac{{5!}}{{2!}} \cr & = \frac{{5 \times 4 \times 3 \times 2!}}{{2!}} \cr & = 60 \cr} $$
