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posted by  RachRox on 10/12/2008 8:59:47 PM  |  status: Live  

combinations

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There are 40 marbles in a box. There are 8 different colors, and 5 marbles of each color. How many ways can a full house (3 marbles of one color and 2 of a different color) be chosen?

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posted by Muffin on 10/12/2008 9:41:58 PM  |  status: Live
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Solution:

Since you want a full house, you need to pick 2 colors out of the 8 colors.
And then, you need to pick 2 marbles out of the 5 marbles of the first color.
And lastly, you need to pick 3 marbles out of the 5 marbles of the second color.

So, the answer is,

possible versions of the full house
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