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Permutational Polynomial

Author: mathforces
Problem has been solved: 28 times

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Find the number of fifth-degree polynomials $ P (x) $ with real coefficients such that the values of each of them at $ x = 1,2,3,4,5,6 $ are equal to $ 1,2,3,4,5,6 $ (not necessarily in the same order, but necessarily all of them must appear ).





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