Suppose we have a set of N natural numbers from 1 to 999.
We take m out of the N numbers at random and multiply them.
What is the smallest possible difference between two such products ?
We exclude the case when the two subsets of m numbers are identical (so difference is zero).
Also the N numbers can be sorted and ordered (is allowed) but not the products of m numbers - because there are too many.
We take m out of the N numbers at random and multiply them.
What is the smallest possible difference between two such products ?
We exclude the case when the two subsets of m numbers are identical (so difference is zero).
Also the N numbers can be sorted and ordered (is allowed) but not the products of m numbers - because there are too many.