text: how many different baseball lineup possibilities are there?   there are 9x8x7x6x5x4x3x2x1 possible ways to arrange 9 players in a batting order.  that comes out to 362,880.  when is this homework assignment due?   edit:  ong jon (see below) is correct. i was referring, of course, to the number of possible ways you can arrange nine positions into a batting order, not how many ways a roster of 25 or 26 players can be so arranged...