There are 55,440 combinations. (See below for the math!) So the formula for these kinds of combinations is n! / (n - r)! Next, we plug in the values. 11 different objects and 5 reels. 11! / (11 - 5)! Solving parts of it at a time, we come to this. c = 11! / 6! c = 39,916,800 / 6! c = 39,916,800 / 720 c = 55,540 That means there are 55,440 different combinations, of which 29 you can win: making it a 0.0005% chance to win, or 1 in 200,000.
If the formula is wrong, please let me know as soon as possible. Thanks to @-Rex- for the text engine. Thanks to @atomicmagicnumber for the music.
