Personal Maths Question Trying To Solve

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The discussion revolves around calculating the maximum number of points that can be swapped between two erasure categories for points passing through two slits. With 200 points total, 100 go through each slit, and each slit has points categorized into two erasure types. The maximum swap allowed is half of the points in each erasure category, leading to a query about the total allowable swaps when both erasure types are considered. The poster is uncertain if this problem relates to quantum physics concepts, specifically the two-slit experiment, or if it's purely a mathematical problem. Clarification on the nature of the problem and its classification in forums is also sought.
StevieTNZ
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Hi there,

How would I go about solving this particular problem:
What I'm trying to find out is if I have 200 points on a screen, half of which go through slit 1, and the other 100 go through slit 2. Half of those that go through slit 1 are coded as erasure 1, and the other 50 coded as erasure 2. Likewise with those points going through slit 2. The maximum swap from one erasure to another is topped at a maximum of half of those - i.e. 100 erasure 1 points -> only half (50) can be swapped to erasure 2, and vice versa with erasure 2 -> erasure 1 swaps. I'm trying to calculate the maximum of points going through slit 1 and slit 2 that can be swapped when the erasure points are swapped, i.e. slit 1 erasure 1 point swapped to slit 1 erasure 2; slit 2 erasure 1 swapped to slit 2 erasure 2, etc etc.

When erasure 1 is swapped to erasure 2, points from slit 1 and slit 2 can be swapped to erasure 2 - trying to find the maximum that is allowed from each slit when BOTH swaps (erasure 1 -> erasure 2 + erasure 2 -> erasure 1) occur. How many from each slit can be swapped? Is it 1/4 of those going through each slit (1/4+1/4=1/2->1/2 the 200 points overall)?
 
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Unless this is something to do with a quantum 2-slit experiment, I have no idea what it's about.

If it is about 2-slit experiments, why is it not in the appropriate physics forum, instead of general math?
 

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