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Black Book Advanced Problems in MathematicsMathematicsDeterminants

If 3^n is a factor of the determinant vmatrix 1 & 1 & 1 ^nC₁ & ^ n+3 C₁ & ^ n+6 C₁ ^nC₂ & ^ n+3 C₂ & ^ n+6 C₂ vmatrix then the maximum value of n is .........

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