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In how many different ways can the letters of the word AWARE be arranged?

a) 48
b) 60
c) 120
d) 160

Answer: b
Explanation: The given word contains 5 letters of which A is taken 2 times.
∴ Required number of ways
$$\eqalign{ & = \frac{{5!}}{{2!}} \cr & = \frac{{5 \times 4 \times 3 \times 2 \times 1}}{2} \cr & = 60 \cr} $$

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