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?
Combinatorics #2
This topic has expert replies
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
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