Subset of the Multiset

Number Theory Level pending

There is a multiset of N Random number's \({ a }_{ 0 } ,{ a }_{ 1 } { ,a }_{ 2 }, .................{ a }_{ N-1 }\).

What is the probability that there will be a subset of this Multiset such that the sum of all of its elements is divisible by N.

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