Martin writes five letters to five different addressees; : PS Archive
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# Martin writes five letters to five different addressees;

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SVP
Joined: 03 Feb 2003
Posts: 1603
Followers: 8

Kudos [?]: 245 [0], given: 0

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25 Sep 2003, 23:58
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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?
Senior Manager
Joined: 21 Aug 2003
Posts: 257
Location: Bangalore
Followers: 1

Kudos [?]: 10 [0], given: 0

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26 Sep 2003, 09:11
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..
SVP
Joined: 03 Feb 2003
Posts: 1603
Followers: 8

Kudos [?]: 245 [0], given: 0

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26 Sep 2003, 10:18
My logic and answers are the same. There are no official answers—I invented the question today.
26 Sep 2003, 10:18
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