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For a fixed positive integer n, if D = |(n!, (n + 1)!, (n + 2)!), ((n + 1)!, (n + 2)!, (n + 3)!), ((n + 2)!, (n + 3)!, (n + 4)!)|

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For a fixed positive integer n, if 

D = |(n!, (n + 1)!, (n + 2)!), ((n + 1)!, (n + 2)!, (n + 3)!), ((n + 2)!, (n + 3)!, (n + 4)!)|

then show that [D/(n!)3 - 4] is divisible by n.

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Expanding along C1, we get

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