Vipin Rai
asked
Nov 30, 2018
373
views
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 ... ) . k!P(n,k).(k!)$^{3}$C(n,k).(k!)$^{3}$ 3.C(n,k).k!