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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 5
# Folio 9v, page id 00068002:0018
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Ut jam investigemus numeros coefficiertes formis praescripi constabat dudum, sed adductum tamen est, ut Methodi successus
consideremus tot, modis prodire, quam quadvis formae membrum
smbre
in potestate, quod transpositiones dari possunt. Ita in cubo
prodit ter, quia tres ejus transpositiones, seu conflationes, nempeut Cademratione vel verum provenientem integrum, quoties datur;
ab a + b membrum atp formae a b + ab membrum  et a b
prima a ab,  secunda aba, tertia baa. at formae at
sit
in cut
aabb
1Ea a b
2
a ba
(b aa
e art  ipsins  sormatanet sunt sec
se Panote ipsius abc farma transpositiones sunt sex
1. 1a a bb
2 ab ab
3 ab ba
4 b aab
baba
6 b baa
a
1
abc
1cb
c
bca
cab
6 C ba
id lineis ductis, numeros eosdem ascripsos habentibus sic apparebit
b
proaab
a. b
a1ib
a b
proaabb
a. ab
1,13)
dep
ab
pro abc
Numeros autem Transpositionum For quas
Tranopositiones Quot autem sint transpositiones literarum formo
nondum quod sciam determinatum extat. cum tamen inter primaria
sit problemata Combinatoriae Artis doctrinae Artis. Id aliquando
in rari per otim sum consec cum potestatibus polus nomiorum,
aliisque hujusmodi, sunt sum consecutus in navi per otium
sum consecutus. Multo post Cl. Joh. Bernoullius me admunea
admonente, in hanc trae potestatum e hanc eandem
quod
exemalum
invenit. Esto igitur fort ae in exemplum
in
aeeplum regulae intelligendae sufficiens,  esto forma abcd8
quod sit
a
Cujus coefficiens seu num numerus quae quaeritur quot modis ejus literae
elementa transponi possent est autem gradus, 5+4 + 3+3+2+1+1
seu nempe decimi noni. Dico numerum transpositionum esse proditurum
si multiplicentur invicem continue numeri combinatorii (supra
expositi) qui designant quot sint 19 rerum Aniones, 19- 4 rerum
Sniones, 19 -4 -3 rerum 3niones, 19-4-3 - 3 rerum 2niones, 
19 - 4 - 3 - 3 -2 rerum 1Iniones, 19-4 -3- 3-2-1 rerum
Iniones. Quod etiam per productos continuorum sic
nuntiari
sef
sledesg si
19, 19- 1, 19- 2, 19-3, (486 , 19, 4 , 19- 4. 1, 19- 4-2, 64
Ol 1.2. 3 B
19 -4- 3, 19- 4- 3-1, 19-4-3-2 318 19- 4-3-36, 19. 9 3. 3 1,d i
1, 2, 3.4 
1bCe l,2 a3
19- 4 3
cx. l. 24
19- 4-3-3- 2-1. t
ab  habebit transpositiones 4, 4- 1 , 4- 2, 4-21,
id est = 13 c= b 1 + =  + 3 4. 3, 2. 1 = 6
1. 291. 2
ita
est 431
1.2 7 1.2
pom pumerus