Calculate the number of ways to distribute 15 identical dolls and 7 identical
skateboards amongst 6 children, so that each child gets at least one doll.
I was given a solution for this but it doesn't look correct.
1. Give each child one doll, that leaves 9 dolls.
2. Distribute those 9 dolls. This is done with 14 Choose 5. 14 being the 9 dolls + 5 dividers used to divide them up. And then distribute the 5 dividers.
3. Now distribute the skateboards. The answer I have been given for this is 12 Choose 7. I can't see where this comes from.
The final answer is 1585584.
Is this answer incorrect, because I cant understand how the skateboards are distributed by 12 Choose 7?