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by crackgmat007 » Tue Oct 20, 2009 7:03 am
A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. If 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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by mp2437 » Tue Oct 20, 2009 8:25 am
Choice E. You have to fill up 6 blocks, and each block could be either white, black, or red, a total of 3 picks.

So, 6 blocks could have a total of 3^6, or 729
different combinations. Since we only have 5 blocks of each color, you have to rule out the combinations of all 6 being white, black or red, so 729 - 3 = 726.
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by crackgmat007 » Tue Oct 20, 2009 4:21 pm
So, 6 blocks could have a total of 3^6, or 729
Can you explain 3^6 pls?
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by ssuarezo » Tue Oct 20, 2009 9:02 pm
crackgmat007 wrote:
So, 6 blocks could have a total of 3^6, or 729
Can you explain 3^6 pls?
You need 6 positions, and each one can be 3 colors, so, pos1=3 posibilities, same for pos2, pos3, ... pos6. At the end u have 3x3x3x3x3x3 arrangements, that it, 3^6
What is the OA?
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by crackgmat007 » Tue Oct 20, 2009 9:48 pm
OA E
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by papgust » Tue Oct 20, 2009 10:50 pm
How is it 3^6? I'm still finding hard to understand
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