MathDB

5

Part of 1999 Poland - Second Round

Problems(1)

S = {1,2,3,4,5}, no of f : f : S \to S such that f ^{50}(x)= x

Source: Polish second round 1999 p5

1/19/2020
Let S={1,2,3,4,5}S = \{1,2,3,4,5\}. Find the number of functions f:S→Sf : S \to S such that f50(x)=xf ^{50}(x)= x for all x∈Sx \in S.
combinatoricsfunctionfunctional equation