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Red Beans

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by sampath » Tue Jul 05, 2011 7:11 am
Three piles of 7 beans each are to be made from
10 red, 5 yellow, and 6 green beans. If all of
the beans must be used and each stack must
contain at least one bean of each color, then
what is the maximum number of red beans that can
be put in one of the stacks?
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by Frankenstein » Tue Jul 05, 2011 7:20 am
Hi,
Each stack should have one each from the 3 colors.
So, after placing 3 beans of different colors, you have 4 slots left which can be filled by 4 red beans to maximize.
So, in total you can place maximum of 5 red beans on a stack.
Cheers!

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by StoneBlack » Tue Jul 05, 2011 7:32 am
yes. 5 max red beans in one stack.
1 slot for green and 1 for yellow. leaves 5 slots for the third colour.
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by thephoenix » Tue Jul 05, 2011 7:53 am
each pile will have at most two beans one each from yellow and green in order to maximize the red beans in any pile. so that way we have only 5 slots left
so max # of red beans will be 5
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by artistocrat » Tue Jul 05, 2011 6:57 pm
5.
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