MathForces: Math Olympiads

# Permutational Polynomial

Author: mathforces
Problem has been solved: 33 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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