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In which of the following cases, it is not possible to have two subsets with equal sum?

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in Data Structures & Algorithms II by (76.6k points)
In which of the following cases, it is not possible to have two subsets with equal sum?

(a) When the number of elements is odd

(b) When the number of elements is even

(c) When the sum of elements is odd

(d) When the sum of elements is even

This question was addressed to me in final exam.

My question is from Balanced Partition in chapter Dynamic Programming of Data Structures & Algorithms II

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The correct choice is (c) When the sum of elements is odd

To explain: When the sum of all the elements is odd, it is not possible to have two subsets with equal sum.

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