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Martin writes five letters to five different addressees;

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Martin writes five letters to five different addressees; [#permalink] New post 26 Sep 2003, 00:58
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Martin writes five letters to five different addressees; Morris prepares five envelops; and Michael packs the letters into the envelops at random.

I. What is the probability of having all the letters packed correctly?
II. What is the probability of having exactly two letters packed wrongly?
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 [#permalink] New post 26 Sep 2003, 10:11
1) Number of ways letters can be put in envelopes = 5!
Number of ways to put them correctly = 1
Thus, probability = 1/5! = 120

2) Number of ways letters can be put in envelopes = 5!
Number of ways of getting exactly two wrong = 5C3*1*1 = 10
Thus probability = 10/120 = 1/12

Stolyar, what are the correct answers..
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 [#permalink] New post 26 Sep 2003, 11:18
My logic and answers are the same. There are no official answers—I invented the question today.
  [#permalink] 26 Sep 2003, 11:18
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