Let A,B,C are k element sets and let S be an n element set where k<= n. How many triples of functions f: A→ S , g: B → S , h: C → S are there such that f,g,h are all injective and f(A) = g(B) = h(C)
- 3.P(n,k) . k!
- P(n,k).(k!)$^{3}$
- C(n,k).(k!)$^{3}$
- 3.C(n,k).k!