To seed a tournament means to select which teams will play each other in the first round according to their preliminary ranking. For instance, in professional tennis and NCAA basketball the seeding is set up in the following order based on the preliminary rankings: 1 versus 16, 8 versus 9, 5 versus 12, 4 versus 13, 6 versus 11, 3 versus 14, 7 versus 10, and 2 versus 15. This exercise is based on various types of elimination tournaments. (Leave each answer as a formula. Do not enter your answers using the notation P(n, r) or C(n, r).) (a) How many different seedings of a 16-team tournament are possible