Rob ITST wrote:Sherlock 117 wrote:There will be 462 distinct ways of distributing the levels. If you wish to know I can explain how to arrive at this number.
I would, my statistics are pretty rusty.
Are you counting the different combinations of skills? I did a rough count, and it looks like there are about 30 different skills. Assuming each player can have any combination of 3 skills, I'm coming up with over 4000 different combinations - or am I doing something horribly wrong?

Look at it this way. Pick any of the three skills, this skill can be anywhere from 0 to 20. Let the number you choose be x. Now focus on a different skill, after choosing x, this skill can be anywhere from 0 to 20-x since the total of all three skills can only be 20. After choosing these 2 skill levels, the third is already determined since the sum has to be 20 (assuming we are only talking about maxed out players). This will take care of every possibility.
So the problem is reduced to figuring out how many ways you can choose the first two skills. If the first skill is 20, the second skill has only 1 choice. If the first skill is 19, the second skill has 2 choices, and in general, if the first skill is x, the second skill has 21-x choices. That means the total number of choices is the sum of all numbers from 1 up to 21 = (21*22)/2 = 462
At first I thought the answer was 20^3 = 8000 since each of the 20 skill points could be allocated anywhere, but then you have to remember that giving a skill first to offensive baseline and then to defensive baseline is the same as doing it in the other order. So you have to divide by something that gives the number of permutations possible...
Ughh, I hate probability and statistics. I'll just stick to
algebraic topology, thank you very much
