# This is a Multiple Choice Question :(

Suppose that you have a multiset $$A$$ of $$1000$$ rational numbers. All of these rational numbers have $$1000$$ as their denominators. Brilli the Ant claims that it is always possible to find a non-empty sub-multiset of $$A$$ such that the sum of the elements of that multiset is an integer. Is she right?

Details and assumptions:

I tried to frame this problem so that it would have a numerical answer but I failed. That's why this is a multiple choice question $$:($$

A multiset is like a set but it can have elements that can appear more than once. $$\{1,3, 3\}$$ is an example of a multiset. $$\{3, 3\}$$ is a sub-multiset of $$\{1,3,3\}$$.

The sum of one number is the number itself.

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