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