Ability Score Combinations


Pathfinder First Edition General Discussion


If a race provides +2 to any two Ability Scores, and a -2 to any one Ability Score, and none of those modifiers can be applied to the same place...

How many possible combinations would that be?


+2, +2, -2, 0, 0, 0
+2, +2, 0, -2, 0, 0
+2, +2, 0, 0, -2, 0
+2, +2, 0, 0, 0, -2

+2, -2, +2, 0, 0, 0
+2, 0, +2, -2, 0, 0
+2, 0, +2, 0, -2, 0
+2, 0, +2, 0, 0, -2

So... 4 for every +2 combination

+2, X, X, +2, X, X
+2, X, X, X, +2, X
+2, X, X, X, X, +2
X, +2, +2, X, X, X
X, +2, X, +2, X, X
X, +2, X, X, +2, X
X, +2, X, X, X, +2
X, X, +2, +2, X, X
X, X, +2, X, +2, X
X, X, +2, X, X, +2
X, X, X, +2, +2, X
X, X, X, +2, X, +2
X, X, X, X, +2, +2

...60?

Sovereign Court

I'm a little rusty on my stats but it should be 120 assuming you can have a two bonuses to a physical or mental stat, which you normally you don't see. If you keep it to one +2 for physical and one +2 for mental with a floating -2 then you should only have 36 options.

Math for the first one: (6 choose 1)*(5 choose 1)*(4 choose 1) = 120
Math for the second: (3 choose 1)*(3 choose 1)*(4 choose 1) = 36

Like I said my stats are a bit rusty so I apologize if I'm incorrect.


Please Don't Kill Me wrote:

I'm a little rusty on my stats but it should be 120 assuming you can have a two bonuses to a physical or mental stat, which you normally you don't see. If you keep it to one +2 for physical and one +2 for mental with a floating -2 then you should only have 36 options.

Math for the first one: (6 choose 1)*(5 choose 1)*(4 choose 1) = 120
Math for the second: (3 choose 1)*(3 choose 1)*(4 choose 1) = 36

Like I said my stats are a bit rusty so I apologize if I'm incorrect.

For the first it's (6 choose 2)*(4 choose 1) = 60, since the order you choose the +2's doesn't matter.

For the second your math is correct.


Noether wrote:
Please Don't Kill Me wrote:

I'm a little rusty on my stats but it should be 120 assuming you can have a two bonuses to a physical or mental stat, which you normally you don't see. If you keep it to one +2 for physical and one +2 for mental with a floating -2 then you should only have 36 options.

Math for the first one: (6 choose 1)*(5 choose 1)*(4 choose 1) = 120
Math for the second: (3 choose 1)*(3 choose 1)*(4 choose 1) = 36

Like I said my stats are a bit rusty so I apologize if I'm incorrect.

For the first it's (6 choose 2)*(4 choose 1) = 60, since the order you choose the +2's doesn't matter.

For the second your math is correct.

Yay, my manual method got it right. ;-)

Sovereign Court

Noether wrote:
Please Don't Kill Me wrote:

I'm a little rusty on my stats but it should be 120 assuming you can have a two bonuses to a physical or mental stat, which you normally you don't see. If you keep it to one +2 for physical and one +2 for mental with a floating -2 then you should only have 36 options.

Math for the first one: (6 choose 1)*(5 choose 1)*(4 choose 1) = 120
Math for the second: (3 choose 1)*(3 choose 1)*(4 choose 1) = 36

Like I said my stats are a bit rusty so I apologize if I'm incorrect.

For the first it's (6 choose 2)*(4 choose 1) = 60, since the order you choose the +2's doesn't matter.

For the second your math is correct.

Duh, on my part. That will teach me to think before I math.


So what are the chances that there is a race that will give you a perfect set of modifiers?


fictionfan wrote:
So what are the chances that there is a race that will give you a perfect set of modifiers?

Pretty good, given the alternate tieflings/Aasimars

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