D&D 5E Need a complete list of all point buy combos for 5e

[Emirikol]

I'm working on a random character generator project. Have any of you generated a list of the point buy combos for 5e? It can't be that many.


Please help.


jh

 

[GX.Sigma]

I'm working on a random character generator project. Have any of you generated a list of the point buy combos for 5e? It can't be that many.


Please help.


jh

There are 262,144 possible permutations.

It would probably be easier to write the program to roll [highest 3 of 4d6] six times in order.

 

[Emirikol]

That doesn't sound right for a point buy between 8, 15.

More thoughts?

 

[TwoSix]

There are 262,144 possible permutations.

It would probably be easier to write the program to roll [highest 3 of 4d6] six times in order.

There are 262,144 total combinations of having 8 through 15, each on 6 die.

There are only 12,200 or so that actually satisfy the 27 point buy requirement.

And out of those, there are only 65 unique combinations.View attachment pointbuy combos.xlsx

 

[tuxgeo]

I've made a partial list, giving mnemonic names to the ones I've created so far:

Point Buy: You have 27 points to spend on Ability Scores. Use this Table: 
 / -:- AN ABILITY SCORE OF -->  8   9   10   11   12   13    14    15    16  \ 
 \  COSTS THIS MANY POINTS -->  0   1    2    3    4    5     7     9    12  / 

SAMPLE Ability Arrays (in Descending order by Values) using 5E's 27-Point Buy: 
[ HEAVY Array: 15 - 15 - 15 - 8 - 8 - 8 ]  = 27 (<-- extreme) 
 . . . [skipping the 15-15-14 and 15-15-13 stuff] . . . 
[ Fancy Array: 15 - 15 - 12 - 11 - 10 - 8 ] = 27 
[ Hasty Array: 15 - 15 - 12 - 11 - 9 - 9 ] = 27 
[ Corny Array: 15 - 15 - 12 - 10 - 10 - 9 ] = 27 (Just squeaks by, barely.) 
[ Lofty Array: 15 - 15 - 11 - 10 - 10 - 10 ] = 27 
[ Dumpy Array: 15 - 14 - 14 - 12 - 8 - 8 ]  = 27 
[ Awful Array: 15 - 14 - 14 - 11 - 9 - 8 ]  = 27 
[ HiLow Array: 15 - 14 - 14 - 10 - 10 - 8 ]  = 27 
[ Stock Array: 15 - 14 - 14 - 10 - 9 - 9 ]  = 27 
[*ELITE*ARRAY: 15 - 14 - 13 - 12 - 10 - 8 ]  = 27 (<-- official default array) 
[ Slant Array: 15 - 14 - 13 - 11 - 10 - 9 ]  = 27 
[ Plain Array: 15 - 14 - 13 - 10 - 10 - 10 ]  = 27 
[ Dozen Array: 15 - 14 - 12 - 12 - 10 - 9 ]  = 27 
[ Ditzy Array: 15 - 14 - 12 - 11 - 11 - 9 ]  = 27 
[ Slide Array: 15 - 14 - 12 - 11 - 10 - 10 ]  = 27 
[ Direr Array: 15 - 13 - 13 - 13 - 11 - 8 ]  = 27 (Getting direr each minute) 
[ Lunar Array: 15 - 13 - 13 - 13 - 10 - 9 ]  = 27 (<-- 13 lunar cycles/year) 
[ Cliff Array: 15 - 13 - 13 - 12 - 12 - 8 ]  = 27 
[ Fussy Array: 15 - 13 - 13 - 12 - 11 - 9 ]  = 27 ("Now we're getting fussy.") 
[ Nodal Array: 15 - 13 - 13 - 12 - 10 - 10 ]  = 27 (two 13s and two 10s) 
[ Oddly Array: 15 - 13 - 13 - 11 - 11 - 10 ]  = 27 
[ Cagey Array: 15 - 13 - 12 - 12 - 11 - 10 ]  = 27 (<-- +1 4th, no dump) 
[ Silly Array: 15 - 13 - 12 - 12 - 12 - 9 ]  = 27 (Someone must have a use for it.) 
[ Fence Array: 15 - 13 - 12 - 11 - 11 - 11 ]  = 27 (<-- It goes THREE-Eleven!) 
[ Dicey Array: 15 - 12 - 12 - 12 - 12 - 10 ]  = 27 ("4rolled12 + 1rolled10") 
[ Scary Array: 14 - 14 - 14 - 12 - 10 - 8  ]  = 27 (. . . because SOMEBODY has to!) 
[ Crazy Array: 14 - 14 - 14 - 11 - 10 - 9 ]  = 27 
[ EVENS Array: 14 - 14 - 14 - 10 - 10 - 10 ]  = 27 (<-- eschewing odd numbers) 
[ Badly Array: 14 - 14 - 14 - 12 - 9 - 9 ] = 27 
[ Trend Array: 14 - 14 - 14 - 11 - 10 - 9 ]  = 27 
[ Lowly Array: 14 - 14 - 13 - 13 - 10 - 9 ]  = 27 
[ Jazzy Array: 14 - 14 - 13 - 12 - 11 - 9 ]  = 27 
[ Basal Array: 14 - 14 - 13 - 12 - 10 - 10 ]  = 27 
[ Skate Array: 14 - 14 - 12 - 12 - 12 - 9 ]  = 27
[ SoLow Array: 14 - 14 - 12 - 12 - 11 - 10 ]  = 27 
[ WORST Array: 13 - 13 - 13 - 12 - 12 - 12 ]  = 27 (<-- extreme)

 

[Emirikol]

There are 262,144 total combinations of having 8 through 15, each on 6 die.

There are only 12,200 or so that actually satisfy the 27 point buy requirement.

And out of those, there are only 65 unique combinations.View attachment 63605

That doesn't sound right for permutations for a point buy between 8, 15 with limited combos due to point buy limitations.
[EDIT: FOUND YOUR MATH FILE THANKS!]

More thoughts?

 

[transtemporal]

There are 262,144 total combinations of having 8 through 15, each on 6 die.

There are only 12,200 or so that actually satisfy the 27 point buy requirement.

And out of those, there are only 65 unique combinations.View attachment 63605

I know nothing about maths, but I don't like those numbers. I insist you recalculate them, then write me a 1000 word essay on why you were wrong.

 

[TwoSix]

That doesn't sound right for permutations for a point buy between 8, 15 with limited combos due to point buy limitations.
[EDIT: FOUND YOUR MATH FILE THANKS!]

More thoughts?

Welp, as soon as you find number 66, let me know. It's not really tricky to find, just some brute force Excel.

 

[KarinsDad]

I've made a partial list, giving mnemonic names to the ones I've created so far:

I used your fence array for my non-variant human PC, although I was originally going to go with your direr array. Many of the ones that you mock are actually good for some PC concepts.

I could see someone with a nonhuman with a racial +2 to their main stat who wants to take a feat at fourth level that adds +1 to their main stat taking your silly array at level one, for example.

 

[tuxgeo]

While we're waiting for anyone to find combo #66 based on TwoSix's list, here are his 65 combos converted to text strings, in descending order, with the highest values to the left:

15 - 15 - 15 - 8 - 8 - 8
15 - 15 - 14 - 10 - 8 - 8
15 - 15 - 14 - 9 - 9 - 8
15 - 15 - 13 - 12 - 8 - 8
15 - 15 - 13 - 11 - 9 - 8
15 - 15 - 13 - 10 - 10 - 8
15 - 15 - 13 - 10 - 9 - 9
15 - 15 - 12 - 12 - 9 - 8
15 - 15 - 12 - 11 - 10 - 8
15 - 15 - 12 - 11 - 9 - 9
15 - 15 - 12 - 10 - 10 - 9
15 - 15 - 11 - 11 - 11 - 8
15 - 15 - 11 - 11 - 10 - 9
15 - 15 - 11 - 10 - 10 - 10
15 - 14 - 14 - 12 - 8 - 8
15 - 14 - 14 - 11 - 9 - 8
15 - 14 - 14 - 10 - 10 - 8
15 - 14 - 14 - 10 - 9 - 9
15 - 14 - 13 - 13 - 9 - 8
15 - 14 - 13 - 12 - 10 - 8
15 - 14 - 13 - 12 - 9 - 9
15 - 14 - 13 - 11 - 11 - 8
15 - 14 - 13 - 11 - 10 - 9
15 - 14 - 13 - 10 - 10 - 10
15 - 14 - 12 - 12 - 11 - 8
15 - 14 - 12 - 12 - 10 - 9
15 - 14 - 12 - 11 - 11 - 9
15 - 14 - 12 - 11 - 10 - 10
15 - 14 - 11 - 11 - 11 - 10
15 - 13 - 13 - 13 - 11 - 8
15 - 13 - 13 - 13 - 10 - 9
15 - 13 - 13 - 12 - 12 - 8
15 - 13 - 13 - 12 - 11 - 9
15 - 13 - 13 - 12 - 10 - 10
15 - 13 - 13 - 11 - 11 - 10
15 - 13 - 12 - 12 - 12 - 9
15 - 13 - 12 - 12 - 11 - 10
15 - 13 - 12 - 11 - 11 - 11
15 - 12 - 12 - 12 - 12 - 10
15 - 12 - 12 - 12 - 11 - 11
14 - 14 - 14 - 13 - 9 - 8
14 - 14 - 14 - 12 - 10 - 8
14 - 14 - 14 - 12 - 9 - 9
14 - 14 - 14 - 11 - 11 - 8
14 - 14 - 14 - 11 - 10 - 9
14 - 14 - 14 - 10 - 10 - 10
14 - 14 - 13 - 13 - 11 - 8
14 - 14 - 13 - 13 - 10 - 9
14 - 14 - 13 - 12 - 12 - 8
14 - 14 - 13 - 12 - 11 - 9
14 - 14 - 13 - 12 - 10 - 10
14 - 14 - 13 - 11 - 11 - 10
14 - 14 - 12 - 12 - 12 - 9
14 - 14 - 12 - 12 - 11 - 10
14 - 14 - 12 - 11 - 11 - 11
14 - 13 - 13 - 13 - 13 - 8
14 - 13 - 13 - 13 - 12 - 9
14 - 13 - 13 - 13 - 11 - 10
14 - 13 - 13 - 12 - 12 - 10
14 - 13 - 13 - 12 - 11 - 11
14 - 13 - 12 - 12 - 12 - 11
14 - 12 - 12 - 12 - 12 - 12
13 - 13 - 13 - 13 - 13 - 10
13 - 13 - 13 - 13 - 12 - 11
13 - 13 - 13 - 12 - 12 - 12

(I dumped his Excel into Access, and created a query to concatenate and sort.)