For what value of n is the determinant vmatrix C(9,4)&C(9,3)&C(10,n-2) (11,6)&C(11,5)&C(12,n) (m,7)&C(m,6)&C(m+1,n+1) vmatrix =0 for every m>n?

NDA 2024 Mathematics question

For what value of is the determinant for every ?

Answer: (C)

Using , the sum of the first two columns is , , . If the third column equals this sum, the

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Question ID VK-029790