Consider a square matrix of order 5 such that {a_{ij}} = 0,,∀ ,,i + j, = n + 1,,a_{ij}, ∈

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3 and 4 .Determinants and Matrices

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Consider a square matrix of order $5$ such that ${a_{ij}} = 0\,\,\forall \,\,i + j\, = n + 1,\,a_{ij}\, \in \left\{ {0,1} \right\}\,\,\forall \,\,i,j$ . In each row as well as in each column there in only one non-zero element. Then number of such matrices is

A

$44$

B

$720$

C

$24$

D

$120$

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Standard 12

Mathematics

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