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What is the value of the determinant ?

$\left|\begin{array}{ccc}t! & (t+1)! & (t+2)! \\ (t+1)! & (t+2)! & (t+3)! \\ (t+2)! & (t+3)! & (t+4)!\end{array}\right|=$

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Hence answer is 2(t!)(t+1)! (t+2)!

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