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Mock AMC 8 Problem #3

 
 
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Re: Mock AMC 8 Problem #3
W.Jeffrey - 2019年11月30日 Saturday 09:01
 
There are only 2 ways.

first of all, it says that order does not matter, which means that 5 5 5 2 is the same as 2 5 5 5.

second, there are just 2 ways, once you consider parity. 5 5 5 2 and 5 2 2 2 2 2 2. you cannot have 2 fives, because if you do, once you add the 2s, it will stay even, and 17 is not even. 

therefore, there are only 2 solutions