Exercise 16.

Suppose you have 20 one-dollar bills to give out as prizes to your top 5 discrete math students. How many ways can you do this if:

  1. Each of the 5 students gets at least 1 dollar?

  2. Some students might get nothing?

  3. Each student gets at least 1 dollar but no more than 7 dollars?

Hint.Solution.
in-context