The number of square matrices of order 5 with entries from the set
, such that the sum of all the elements in each row is 1 and the sum of the all the elements in each column is also 1, is
Text Solution
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In each row and each column exactly one is to be placed
No, of such materials 
Alternate:

Step -1 : Select any 1 place for 1 ’ s in row 1. Automatically some column will get filled with 0 ’ s
Step – 2 : From next now select 1 place for 1’s automatically some column will get filled with 0’s
Each time one less place will be available for putting 1 ’ s
Repeat step-2 till last row.
Req. ways = 

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