If np4=1680find n what is the answer
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Step-by-step explanation:
nP4 = n! / (n - 4)!
n! / (n - 4)! = 1680
n! = 1680 * (n - 4)!
n * (n - 1) * (n - 2) * (n - 3) * (n - 4)! = 1680 * (n - 4)!
n * (n - 1) * (n - 2) * (n - 3) = 1680
(n^2 - n) * (n^2 - 5n + 6) = 1680
n^4 - 5n^3 + 6n^2 - n^3 + 5n^2 - 6n = 1680
n^4 - 6n^3 + 11n^2 - 6n - 1680 = 0
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