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# If four people are to be selected from eight people, which

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Manager
Joined: 10 Oct 2005
Posts: 62
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If four people are to be selected from eight people, which [#permalink]  20 Oct 2005, 15:24
If four people are to be selected from eight people, which include A and B, what is the probability that A is selected but B not?
VP
Joined: 22 Aug 2005
Posts: 1120
Location: CA
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2/7

Assumption: A is always selected

total combinations: 8C4 = 70

All combinatiosn where A is selected but B is not
Leaving B, there are 7 people from which 4 to be selected
If A is always to be selected, all possible combinations are:
6C3 = 20

required prob = 20/70 or 2/7
SVP
Joined: 05 Apr 2005
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Re: probability : A&B [#permalink]  20 Oct 2005, 17:11
= 6C3/8C4 = 20/70 = 2/7
Manager
Joined: 10 Oct 2005
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Bang on target.... 6C3/8C4 it is
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