Well there is a handy formula: The number of ways of choosingkthings fromnwith replacementis: See Wikipedia. Note that because it is with replacement there is nothing wrong with . Either can be any non-negative number.

Now if you ask the question, how many ways are there to distributenobjects tokbins (people, etc.) you can think of the problem on its head. Each ofnobjects are going to pick a bin (people, etc.). Since 2 different objects could pick the same bin, this is pickingnfromkwith replacement. So this is or equivalently

So going back to your question: You are going to distribute 4 Dalis to 5 people: . You are going to distribute 5 VG's to 5 people: . And of course:

Since you can think of each collection by the same painter independently you just multiply them.