Question: The city council of a particular city is composed of five members of party A, four members of party B, and three independents. Two council members are randomly selected to form an investigative committee.
a. Find the probability that both are from party A.
b. Find the probability that at least one is an independent.
c. Find the probability that the two have different party affiliations (that is, not both A, not both B, and not both independent).