Finding out Spells

[Aro]

Hey Aro, would it matter to you, making me a word-doc?
When your informatics are as good as your maths.
But good to know, 246 combinations are really easy. DM had more.

I hope it helps...

1 runes

SpoilerShow

a
b
c
d
e
f
g
h
i

2 runes

SpoilerShow

ab
ac
ad
ae
af
ag
ah
ai
bc
bd
be
bf
bg
bh
bi
cd
ce
cf
cg
ch
ci
de
df
dg
dh
di
ef
eg
eh
ei
fg
fh
fi
gh
gi
hi

3 runes

SpoilerShow

abc
abd
abe
abf
abg
abh
abi
acd
ace
acf
acg
ach
aci
ade
adf
adg
adh
adi
aef
aeg
aeh
aei
afg
afh
afi
agh
agi
ahi
bcd
bce
bcf
bcg
bch
bci
bde
bdf
bdg
bdh
bdi
bef
beg
beh
bei
bfg
bfh
bfi
bgh
bgi
bhi
cde
cdf
cdg
cdh
cdi
cef
ceg
ceh
cei
cfg
cfh
cfi
cgh
cgi
chi
def
deg
deh
dei
dfg
dfh
dfi
dgh
dgi
dhi
efg
efh
efi
egh
egi
ehi
fgh
fgi
fhi
ghi

4 runes

SpoilerShow

abcd
abce
abcf
abcg
abch
abci
abde
abdf
abdg
abdh
abdi
abef
abeg
abeh
abei
abfg
abfh
abfi
abgh
abgi
abhi
acde
acdf
acdg
acdh
acdi
acef
aceg
aceh
acei
acfg
acfh
acfi
acgh
acgi
achi
adef
adeg
adeh
adei
adfg
adfh
adfi
adgh
adgi
adhi
aefg
aefh
aefi
aegh
aegi
aehi
afgh
afgi
afhi
aghi
bcde
bcdf
bcdg
bcdh
bcdi
bcef
bceg
bceh
bcei
bcfg
bcfh
bcfi
bcgh
bcgi
bchi
bdef
bdeg
bdeh
bdei
bdfg
bdfh
bdfi
bdgh
bdgi
bdhi
befg
befh
befi
begh
begi
behi
bfgh
bfgi
bfhi
bghi
cdef
cdeg
cdeh
cdei
cdfg
cdfh
cdfi
cdgh
cdgi
cdhi
cefg
cefh
cefi
cegh
cegi
cehi
cfgh
cfgi
cfhi
cghi
defg
defh
defi
degh
degi
dehi
dfgh
dfgi
dfhi
dghi
efgh
efgi
efhi
eghi
fghi

5 runes

SpoilerShow

abcde
abcdf
abcdg
abcdh
abcdi
abcef
abceg
abceh
abcei
abcfg
abcfh
abcfi
abcgh
abcgi
abchi
abdef
abdeg
abdeh
abdei
abdfg
abdfh
abdfi
abdgh
abdgi
abdhi
abefg
abefh
abefi
abegh
abegi
abehi
abfgh
abfgi
abfhi
abghi
acdef
acdeg
acdeh
acdei
acdfg
acdfh
acdfi
acdgh
acdgi
acdhi
acefg
acefh
acefi
acegh
acegi
acehi
acfgh
acfgi
acfhi
acghi
adefg
adefh
adefi
adegh
adegi
adehi
adfgh
adfgi
adfhi
adghi
aefgh
aefgi
aefhi
aeghi
afghi
bcdef
bcdeg
bcdeh
bcdei
bcdfg
bcdfh
bcdfi
bcdgh
bcdgi
bcdhi
bcefg
bcefh
bcefi
bcegh
bcegi
bcehi
bcfgh
bcfgi
bcfhi
bcghi
bdefg
bdefh
bdefi
bdegh
bdegi
bdehi
bdfgh
bdfgi
bdfhi
bdghi
befgh
befgi
befhi
beghi
bfghi
cdefg
cdefh
cdefi
cdegh
cdegi
cdehi
cdfgh
cdfgi
cdfhi
cdghi
cefgh
cefgi
cefhi
ceghi
cfghi
defgh
defgi
defhi
deghi
dfghi
efghi

6 runes

SpoilerShow

abcdef
abcdeg
abcdeh
abcdei
abcdfg
abcdfh
abcdfi
abcdgh
abcdgi
abcdhi
abcefg
abcefh
abcefi
abcegh
abcegi
abcehi
abcfgh
abcfgi
abcfhi
abcghi
abdefg
abdefh
abdefi
abdegh
abdegi
abdehi
abdfgh
abdfgi
abdfhi
abdghi
abefgh
abefgi
abefhi
abeghi
abfghi
acdefg
acdefh
acdefi
acdegh
acdegi
acdehi
acdfgh
acdfgi
acdfhi
acdghi
acefgh
acefgi
acefhi
aceghi
acfghi
adefgh
adefgi
adefhi
adeghi
adfghi
aefghi
bcdefg
bcdefh
bcdefi
bcdegh
bcdegi
bcdehi
bcdfgh
bcdfgi
bcdfhi
bcdghi
bcefgh
bcefgi
bcefhi
bceghi
bcfghi
bdefgh
bdefgi
bdefhi
bdeghi
bdfghi
befghi
cdefgh
cdefgi
cdefhi
cdeghi
cdfghi
cefghi
defghi

7 runes

SpoilerShow

abcdefg
abcdefh
abcdefi
abcdegh
abcdegi
abcdehi
abcdfgh
abcdfgi
abcdfhi
abcdghi
abcefgh
abcefgi
abcefhi
abceghi
abcfghi
abdefgh
abdefgi
abdefhi
abdeghi
abdfghi
abefghi
acdefgh
acdefgi
acdefhi
acdeghi
acdfghi
acefghi
adefghi
bcdefgh
bcdefgi
bcdefhi
bcdeghi
bcdfghi
bcefghi
bdefghi
cdefghi

8 runes

SpoilerShow

abcdefgh
abcdefgi
abcdefhi
abcdeghi
abcdfghi
abcefghi
abdefghi
acdefghi
bcdefghi

9 runes

SpoilerShow

abcdefghi

[Bardamu]

Man, you are great!

Thx a lot from Hamburg/Germany!

[Aro]

Man, you are great!

Thx a lot from Hamburg/Germany!

Well, I hope devs included some special steam achievment for you: "Brute-force spell researcher"
Frankly, I hope I find all spells on scrolls. But you may find some easter-eggs or bonus spells this way...

[PSY]

There are 511 total possible spell combinations with 1-9 runes. You have to take into consideration that the order in which you activate the runes doesn't matter. Thit fact eliminates a lot of combinations.
4 and 5 runes spells have the most possible combinations (126 each). 3 and 6 runes spells have 84 each, 7 and 2 runes spells 36 each, 8 and 1 runes spells 9 each, and a spell using all 9 runes has obvously only 1 combination.

Makes a total of 9+36+84+126+126+84+36+9+1 = 511


...If I'm not totally mistaken. Please correct me if I'm wrong Petri


Cheers,
PSY

P.S. Aro was faster
P.S.S. Example with 5 runes for those guys who're interested in the calculation:
Having a spell with 5 runes means, there are 9 possible options for the first rune, 8 for the second, 7 for the third, 6 for the fourth and 5 for the fifth, making a total of 9*8*7*6*5 = 15120 spells with 5 runes.
BUT: As the order of the runes doesn't matter, the total spell number has to be divided by the total possible combinations of 5 runes, which would be 5*4*3*2*1 = 120.
So the correct number of spells using 5 runes is 15120 / 120 = 126.