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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1

The number of square matrices of order 5 with
entries from the set {0, 1}, such that the sum of all
the elements in each row is 1 and the sum of all the
elements in each column is also 1, is

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Correct option: A

120

Option D (120) is correct because it represents the number of permutations of placing 5 ones in a 5x5 matrix such that each row and column has exactly one 1.

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