MathDB

1

Part of 2019 International Zhautykov OIympiad

Problems(1)

Comb problem from IZHO 2019

Source: IZHO 2019 P1

1/11/2019
Prove that there exist at least 100!100! ways to write 100!100! as sum of elements of set {1!,2!,3!...99!1!,2!,3!...99!} (each number in sum can be two or more times)
izhocombinatoricsfactorial