JEE Advanced Model Paper 15 with solutions for online practice

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Passage-1

Suppose a set X contain different 4 x 4 arrays with each entry as 1 or - 1 and having the property that the sum of the entries in each column is 0 and the sum of entries in each row is 0
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If a set Q ⊆ X be chosen at random, find probability that it contains different 4x4 arrays whose first two columns share no two numbers same in each row:
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