## One-to-one correspondence between set of homomorphisms

Set $S/R$ be an extension of commutative rings, let $M$ be an $R$-module and let $N$ be an $S$-module. Show that there is a one-to-one correspondence between $Hom_{R}(N,M)$ and $Hom_{S}(N,Hom_{R}(S,M))$.