To circumvent this problem, we'll calculate the upper bond for that instead. Now, it can be quite hard to calculate the number of possible movesets because not every pokemon has a movepool of the same size. But wait, there's more !įor each of these 6 pokemons, you'll need to pick 4 moves. In the end, this means that there are (907 ^ 6)/6! possibilities for different teams of 6 pokemon, which gives us the already humongous number of 7.7323451e+14 possibilities. Following the same principle, making teams from 6 set pokemons comes down to picking one amonst these 6, then one amongst the 5 remaining ones (because this time you can't pick the same one twice), and etc, which gives us 6*5*4*3*2*1 (commonly denoted 6!) possibilities for teams using 6 pokemon. To eliminate duplicates, we'll need to figure out how much teams you can make with the same 6 pokemons, and then divide our first number by that. However, a lot of these combinations actually result in the same team, as the order in which you pick these pokemon does not matter (for example, picking Pikachu and then Salamence is the same as picking Salamence then Pikachu). Now, when composing a team of 6 pokemon, the process you actually go through is pick a pokemon amongst those 907 six times in a row, which means that this gives us 907 ^ 6 possibilities. According to bulbapedia, as of USUM there are 907 pokemons including megas and alternate formes. For the sake of simplicity, we'll be assuming that we're playing the game on cartridge, which allows us to have multiples of the same pokemon on our team. So, if we wanna calculate the number of possible teams, the first thing we need to know is how many combinations of 6 different pokemon you can make.
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