In how many different ways can the letters of the word CREATE be arranged?
A
25
B
36
C
360
D
720
E
None of these
Correct Answer: 360
The given words contains 6 letters of which E is taken 2 times.∴ Required number of ways
$$\eqalign{ & = \frac{{6!}}{{2!}} \cr & = \frac{{6 \times 5 \times 4 \times 3 \times 2!}}{{2!}} \cr & = 360 \cr} $$