In how many ways can Nicole distribute 20 chocolates among Ben, Kate, Mark and Tom so that each receives at least one?  Choices:
A) 20C4	B) 19C3	C) 21C4	D) 21C3	E) None of the answers is correct
The total number of ways of dividing n identical items among r persons, each one of whom receives at least one item is n−1Cr−1   Thus the answer is 19C3.   Answer: 19C3.
<result>B</result>
In how many ways can Nicole distribute 20 chocolates among Ben, Kate, Mark and Tom so that each receives at least one?