MathDB
grid P(6) (2023 HMMT combi )

Source:

February 28, 2023
gridHMMT

Problem Statement

Each cell of a 33 × 33 grid is labeled with a digit in the set {1,2,3,4,51, 2, 3, 4, 5} Then, the maximum entry in each row and each column is recorded. Compute the number of labelings for which every digit from 11 to 55 is recorded at least once.
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