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  3. let a = {a1, a2, a3, . . . , an} be a nonempty set

Let A = {a1, a2, a3, . . . , an} be a nonempty set...

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Advance Math

Let A = {a1, a2, a3, . . . , an} be a nonempty set of n distinctnatural numbers. Prove that there exists a nonempty subset of A forwhich the sum of its elements is divisible by n.

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4.1 Ratings (618 Votes)
Since the set A has n distinct numbers integers so they form a congruence class modulo n ie if we consider the set Amod n defined as Amod n a1mod n a2mod n    See Answer
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