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A certain car dealership offers its newest model in ten

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A certain car dealership offers its newest model in ten [#permalink] New post 11 Mar 2013, 23:41
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A certain car dealership offers its newest model in ten exterior and ten interior colors. If the ten interior colors are identical to the ten exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?

A. 45
B. 81
C. 90
D. 10!/2!
E. 10!
[Reveal] Spoiler: OA

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Last edited by Bunuel on 12 Mar 2013, 02:03, edited 1 time in total.
Edited the question.
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Re: A certain car dealership offers its newest model in ten [#permalink] New post 12 Mar 2013, 02:07
emmak wrote:
A certain car dealership offers its newest model in ten exterior and ten interior colors. If the ten interior colors are identical to the ten exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?

A. 45
B. 81
C. 90
D. 10!/2!
E. 10!


There are 10*10=100 different combinations of interior and exterior, out of which 10 will be with an identically colored interior and exterior (1-1, 2-2, 3-3, ..., 10-10), thus the answer is 100-10=90.

Answer: C.

Hope it's clear.
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Re: A certain car dealership offers its newest model in ten   [#permalink] 12 Mar 2013, 02:07
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