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Warehouse

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Manager
Manager
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Affiliations: Beta Gamma Sigma
Joined: 14 Aug 2008
Posts: 209

Kudos [?]: 74 [0], given: 3

Schools: Harvard, Penn, Maryland
Warehouse [#permalink]

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New post 25 May 2009, 06:54
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to furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs and 150 different possible combinations possible, how many tables are there?

A) 6
B) 8
C) 10
D) 15
E) 30

Kudos [?]: 74 [0], given: 3

Senior Manager
Senior Manager
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Joined: 08 Jan 2009
Posts: 326

Kudos [?]: 175 [0], given: 5

Re: Warehouse [#permalink]

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New post 25 May 2009, 07:01
5C2 * nC2 = 150

solving n ( n-1) = 30

n2 - n -30 = 0

so (n-6)( n+5) = 0

n = -5,6 n cant be -ve

so n=6

So Ans.A

Kudos [?]: 175 [0], given: 5

Re: Warehouse   [#permalink] 25 May 2009, 07:01
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