IMO 1969 LL CZS15
Let K1, . . . , Kn be nonnegative integers. Prove that
IMO 1969 LL CZS15
Origin: CZS
Problem
Let K1, . . . , Kn be nonnegative integers. Prove that K1!K2! \cdot \cdot \cdot Kn! \geq[K/n]!n, where K = K1 + \cdot \cdot \cdot + Kn.
Let K1, . . . , Kn be nonnegative integers. Prove that
Origin: CZS
Let K1, . . . , Kn be nonnegative integers. Prove that K1!K2! \cdot \cdot \cdot Kn! \geq[K/n]!n, where K = K1 + \cdot \cdot \cdot + Kn.