Combinatorics: Distributing Lindor chocolates

[rhombuster]

I'm a bit confused by the wording of this question:

On Christmas Day, 20 Lindor chocolates were available for 10 hyperactive children.How many ways could the chocolates be distributed to the children,

(c) so that every child got at least one chocolate, but perhaps some chocolates remained?

(d) so that every child got at least one chocolate, but Owen got no more than 3 chocolates, and perhaps some chocolates remained?

So the wording here is throwing me off and I may be going about this completely wrong. I think the question is asking me to create a formula but I'm not sure. Here is my logic for part (c):

If part c didn't include the restriction then there would be (19 choose 9) ways to distribute the chocolates.

So to correct this I let some value n = number of chocolates that remain unassigned.

So it becomes (19 - n choose 9)
Where 0 < n <= 10

Any help would be greatly appreciated.