Imagine you have several distinguishable rows composed of several distinguishable columns

The intersection of the rows and columns either have a 1 or a 0.

Each row sums to the same value and the question is how many of the columns can you eliminate assuming the the 1's in each row are randomly distributed across the columns

Example, there are 30 rows and 20 columns with each row containing 7 randomly dispersed 1's. How many columns can be eliminated reducing the total in each row by no more than 2.

Imagine you have several distinguishable rows composed of several distinguishable columns

The intersection of the rows and columns either have a 1 or a 0.

Each row sums to the same value and the question is how many of the columns can you eliminate assuming the the 1's in each row are randomly distributed across the columns

Example, there are 30 rows and 20 columns with each row containing 7 randomly dispersed 1's. How many columns can be eliminated reducing the total in each row by no more than 2.

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