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

a) 15
b) 25
c) 60
d) None of these

Answer: d
Explanation: The given 6 letters, all different.
∴ Required number of ways
$$\eqalign{ & {}^6{P_6} = 6! \cr & = {6 \times 5 \times 4 \times 3 \times 2 \times 1} \cr & = 720 \cr} $$

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