1. (a)There are 3 people at a donut shop and they have 5 donuts. How many ways are there to assign donuts to people if each person must get at least one?
(b) What if some people can get no donuts?
(c) Repeat parts (a) and (b) for when we have m people, n donuts and n ≥ m.
2. A robot travels from the lower left corner to the upper right corner of an m × n grid. It can only move right and up. How many unique paths can it take? (Hint: How many steps must any path have?)