Since 9 of the coins are accounted for (each must receive at least 3) let's see how we can divide the remaining 3 coins.
Josh Frank Suzy 3 0 0 Josh gets all of them 0 3 0 Frank gets all of them 0 0 3 Suzy gets all of them 1 1 1 They share them 2 1 0 2 way to do it if Josh gets 2 coins 2 0 1 (this is the 2nd way if Josh gets two)
So there must be two ways to do it if Frank gets 2 coins and two more ways to do it if Suzy gets two coins.
Recap: 3 way if one person gets all 3 coins and the others get 0 1 way if they all get a single coin 6 ways if one person gets 2 and another gets the remaining one.
