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Samenvatting VWO Wiskunde d Getal & Ruimte H2
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Samenvatting VWO Wiskunde d Getal & Ruimte H2
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-2 : Diskrete wiskunde
De driehoek van
pascal a°
elk
getal in de driehoek geeft
het aantal kortste routes om vanuit
de top op die plaats te komen
Regel van Pascal :
de som van de
getallen in de n-de r is 2
"
HHûHⁿ
elk
getal = som van getallen
die er schuin boven
De stigma notatie
staan
de som van een
gebruikt omhebben aantal
getallen die een
bepaalde
eigenschap noteren te
5
E. vi = 12+275+42+5
K =
1
"
de som van KZ voor K=L t/m 5
Binomiaal coëfficiënt en
"
er is een verband tussen (atb) en (In)
binomium van Newton :
catbY-E.tk/.an-k.bJ= de getallen ( nu) heten hier binomiaalcoëfficiënten
'
e. (at 3)
"
G) "
a + ( Y) à (9) tkta.it a -37141.3 "
9 }
• '
= . .
" '
= 1. a 1- 4. a 31-6 a 9th a. 271-81
? . . .
a + izatsuat 108at 81
"
=
ij
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