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# Tanya prepared 4 different letters to be sent to 4 different

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Manager
Joined: 04 Jan 2006
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Tanya prepared 4 different letters to be sent to 4 different [#permalink]

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28 Jan 2006, 01:47
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter, she prepared an envelope with its correct address. If the 4 letters are to be put into the 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address?

1. 1/24
2. 1/8
3. 1/4
4. 1/3
5. 3/8
CEO
Joined: 20 Nov 2005
Posts: 2898
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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28 Jan 2006, 02:10
I got 1/3

Total cases = 4! = 24

Cases when exactly one letter is in its correct address envelope = 4* 2 = 8

L1-L2-L3-L4

K1-K3-K4-K2
K1-K4-K2-K3

These are only two cases when only first letter is in enevelope (which is its correct envelope). So for all four letter, cases are 4* 2= 8
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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28 Jan 2006, 02:12
Well done Dhaiya. You've cracked it again.
28 Jan 2006, 02:12
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# Tanya prepared 4 different letters to be sent to 4 different

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