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# A rectangular floor measures 2 by 3 meters. There are 5

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Joined: 04 May 2006
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Kudos [?]: 441 [0], given: 1

A rectangular floor measures 2 by 3 meters. There are 5 [#permalink]  23 May 2008, 00:45
A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different color patterns can the floor be parqueted?

104
213
577
705
726
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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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Kudos [?]: 2143 [0], given: 359

Re: M16. 6 [#permalink]  23 May 2008, 01:12
Expert's post
E

1. Assume that the number of blocks for each color is greater than 2*3=6. In this case, we have 3^6=729 different patterns.
2. Now, we have to exclude 3 patterns: all white, black, and red, in order to take into account the problem restrictions.
3. So, 729-3=726
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Re: M16. 6   [#permalink] 23 May 2008, 01:12
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