Kuba

04-04-2013, 08:38 AM

Hi all,

I was wondering how many different builds are possible to have in-game. So I did little math to find out. I hope my calculations are correct, if you find any mistake, please write it, so I can correct it.

1) Classes

Right now there are four basic classes, each class has three advanced classes, total 16 different classes. Without any limits on six character teams, we are picking six characters(letter "k") from sixteen classes(letter "n"), we can repeat whatever class we want and order of characters doesn't matter. Formula is ((n + k - 1)!)/(k!(n - 1)!). Total number of combination is 54264 different builds. Since our team is limited, total number will be lower.

2) Limits

Currently limits are: exactly 6 character max 2 Varls max 3 Archers max 3 Raiders

Based on these limitations following builds are possible: (Varls are V, Archers A, Raiders R)

R R R A A A V R R A A A V R R R A A V V R A A A V V R R A A V V R R R A

3) Calculation

For every possibility from above I calculated number of builds using same formula and then summed all to get final number of builds.

R R R A A A - 1 * 20 * 20 = 400

V R R A A A - 8 * 10 * 20 = 1600

V R R R A A - 8 * 20 * 10 = 1600

V V R A A A - 36 * 4 * 20 = 2880

V V R R A A - 36 * 10 * 10 = 3600

V V R R R A - 36 * 20 * 4 = 2880

Total number = 400 + 1600 + 1600 + 2880 + 3600 + 2880 = 12960

4) Considering ranks

In my first calculation I haven't consider levels of characters. Base classes have only single rank, advanced classes have three, so new calculation are following:

R R R A A A - 1 * 220 * 220 = 48400

V R R A A A - 20 * 55 * 220 = 242000

V R R R A A - 20 * 220 * 55 = 242000

V V R A A A - 210 * 10 * 220 = 462000

V V R R A A - 210 * 55 * 55 = 635250

V V R R R A - 210 * 220 * 10 = 462000

Total number = 48400 + 242000 + 242000 + 462000 + 635250 + 462000 = 2091650

With new classes and new limits numbers will be different. Thanks to guys from Stoic for creating so many possibilities. If you enjoyed reading this and want to calculate something else, write it down and I will try to do it.

I was wondering how many different builds are possible to have in-game. So I did little math to find out. I hope my calculations are correct, if you find any mistake, please write it, so I can correct it.

1) Classes

Right now there are four basic classes, each class has three advanced classes, total 16 different classes. Without any limits on six character teams, we are picking six characters(letter "k") from sixteen classes(letter "n"), we can repeat whatever class we want and order of characters doesn't matter. Formula is ((n + k - 1)!)/(k!(n - 1)!). Total number of combination is 54264 different builds. Since our team is limited, total number will be lower.

2) Limits

Currently limits are: exactly 6 character max 2 Varls max 3 Archers max 3 Raiders

Based on these limitations following builds are possible: (Varls are V, Archers A, Raiders R)

R R R A A A V R R A A A V R R R A A V V R A A A V V R R A A V V R R R A

3) Calculation

For every possibility from above I calculated number of builds using same formula and then summed all to get final number of builds.

R R R A A A - 1 * 20 * 20 = 400

V R R A A A - 8 * 10 * 20 = 1600

V R R R A A - 8 * 20 * 10 = 1600

V V R A A A - 36 * 4 * 20 = 2880

V V R R A A - 36 * 10 * 10 = 3600

V V R R R A - 36 * 20 * 4 = 2880

Total number = 400 + 1600 + 1600 + 2880 + 3600 + 2880 = 12960

4) Considering ranks

In my first calculation I haven't consider levels of characters. Base classes have only single rank, advanced classes have three, so new calculation are following:

R R R A A A - 1 * 220 * 220 = 48400

V R R A A A - 20 * 55 * 220 = 242000

V R R R A A - 20 * 220 * 55 = 242000

V V R A A A - 210 * 10 * 220 = 462000

V V R R A A - 210 * 55 * 55 = 635250

V V R R R A - 210 * 220 * 10 = 462000

Total number = 48400 + 242000 + 242000 + 462000 + 635250 + 462000 = 2091650

With new classes and new limits numbers will be different. Thanks to guys from Stoic for creating so many possibilities. If you enjoyed reading this and want to calculate something else, write it down and I will try to do it.