Question
Given an `M times N` matrix, where each cell contains a real number. It is known that the sum of the numbers in each row and each column is equal to `1`.
Prove that `M = N`.
Difficulty level (1 very easy - 10 very hard): 1
Topics:
Combinatorics
->
Double Counting
Logic
->
Reasoning / Logic
Algebra
->
Inequalities
->
Averages / Means
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