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How many 5×5 grid is possible

Source: MTRP 2015 Class 11-Multiple Choice Question: Problem 9 :-

September 21, 2020
combinatoricsalgebra unsolved

Problem Statement

How many 5×55 \times 5 grids are possible such that each element is either 1 or 0 and each row sum and column sum is 4?4 ?
[*] 64 [*] 32 [*] 120 [*] 96