Let $a,b,c$ be distinct integers and $P$ be a polynomial with integer coefficients such that $P(a)=b, P(b)=c, P(c)=a$. How many polynomials are there?
Let $a,b,c$ be distinct integers and $P$ be a polynomial with integer coefficients such that $P(a)=b, P(b)=c, P(c)=a$. How many polynomials are there?