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Duncan found a set of positive integers less than 50 such that no two of them sum to a multiple of \(2\). What is the largest number of integers in Duncan's collection?

 May 22, 2022
 #1
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Ty it

odd+ odd = even   (which is a multiple of 2) so we cant have 2 odd numbers

even+even=even       so we can't have 2 odd numbers

odd + even = ?    

 

you can think through the rest of it.

 May 22, 2022

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