To get the opportunity to enter the McNeill River Brown (Grizzly) Bear Sanctuary in Alaska, one must enter a lottery. For a given year there are 2000 individuals entered, and of these a set of 120 names will be randomly selected. Assume that you and a friend are both entered into the lottery. (a) In how many ways can a set of 120 names be randomly selected from among the 2000 entered in the drawing?

(b) In how many ways can the drawing be done in such a way that you and your friend are both selected?

(c) What is the probability that you and your friend will both be chosen?