# Question: assume that if a set contains people they will be...

###### Question details

Assume that if a set contains people, they will be distinct.

(a) Suppose that you have three distinct pieces of fruit and two children. In how many ways

can you distribute all the fruit to the two children? What mathematical object are we

counting in this problem?

(b) In how many ways can we pass out k distinct pieces of fruit to n children (with no restriction on how many pieces of fruit a child may get)?