Combinatorics #2

[papgust]

In how many ways can 10 identical presents be distributed among 6 children so that each child gets at least one present?

A. 15C5
B. 16C6
C. 9C5
D. 6^10
E. None of these

Solution and explanation pls?

[papgust]

Can someone help me solve the prob?

[ayashlaha]

There's 1 way in which each child gets a gift

That leaves us with 4 gifts amongs 6 children. There are 15 ways to do this 6!/(4!.2!)

Thus a total of 16 ways.

However I'm not sure. Someone please confirm the official answer