Ashton won three concert tickets to his favorite band while calling into a radio station. Five of his friends, Jake, Ali, Sabrina, Hannah, and Alex, are interested in seeing it with him.

a.

List all of the possible ways Ashton can distribute the two other concert tickets among his friends.

b.

Now suppose that Ashton caught the flu. List all of the possible ways Ashton can distribute the three concert tickets among his friends.

c.

Is there a relationship between the answers to parts a. and b.? If so, justify the relationship.

d.

Is this a permutation, combination, or binomial theorem question? Explain your reasoning.