Subject:
Mathematics 103 (MAM1003W & END1007W) 2007 Finite Series Permutations. Suppose that a cricket club has 123 active players, and from them the coach has to select a team consisting of 12 men. Of course, in real life, the coach?s choices would be quite limited: he is only likely to select players with whom he is familiar, and some of the players will be known to be of greater ability than others. Let us suppose however, that there are no such constraints, and that the players are all equally likely to be chosen for the team. Let us further suppose that the coach would like to list the team in ?batting order?, i.e., he would like to nominate one of the twelve players to be first batsman, another to be second batsman, and so on right
