Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2018-part-07 — 177 problems (EN–VI) Question 92

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 92

A function $f:\{1,2,3,4,5\} \rightarrow\{1,2,3,4,5\}$ is said to be nasty if there do not exist distinct $a, b \in\{1,2,3,4,5\}$ satisfying $f(a)=b$ and $f(b)=a$. How many nasty functions are there?
Proposed by: Michael Ren