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How many Permutations of the letters of the word APPLE are there?

a) 600
b) 120
c) 240
d) 60

Answer: d
Explanation: APPLE = 5 letters.
But two letters PP is of same kind.
Thus, required permutations,
$$\eqalign{ & = \frac{{5!}}{{2!}} \cr & = \frac{{120}}{2} \cr & = 60 \cr} $$

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