MathDB
Romanian TST 1995

Source:

August 28, 2018
algebra

Problem Statement

Let m,nm,n be positive integers, greater than 2.Find the number of polynomials of degree 2n−12n-1 with distinct coefficients from the set {1,2,…,m}\left\{ 1,2,\ldots,m\right\} which are divisible by xn−1+xn−2+…+1.x^{n-1}+x^{n-2}+\ldots+1.
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