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There are ten meerkats in a colony. Every night, two meerkats stand guard while the others sleep. During a certain period of nights, every meerkat stands guard with every other meerkat exactly once. During that period, how many nights of sleep does each meerkat get?

 Feb 28, 2018
 #1
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I think this might be correct

 

The number of  pairings  (nights) will  be  C(10, 2)  = 45

 

Each meerkat  will  pair with the other 9 one time

 

So.....each meerkat will stand guard  9 nights and sleep 36 nights

 

 

cool cool cool

 Feb 28, 2018

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