Y by
Compute the greatest integer
such that
divides
![$\sum_{0 \leq i < j \leq 2024} \left[\binom{2024}{i}\binom{2034}{j} - \binom{2024}{j}\binom{2034}{i}\right]^2$](//latex.artofproblemsolving.com/4/c/4/4c42b9f80506262b06ff41a89c911784d28e9de2.png)


![$\sum_{0 \leq i < j \leq 2024} \left[\binom{2024}{i}\binom{2034}{j} - \binom{2024}{j}\binom{2034}{i}\right]^2$](http://latex.artofproblemsolving.com/4/c/4/4c42b9f80506262b06ff41a89c911784d28e9de2.png)
This post has been edited 1 time. Last edited by P162008, May 9, 2025, 12:00 PM
Reason: Typo
Reason: Typo
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