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Summary Cheatsheet - Permutations and combinations

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A hand written concise cheatsheet perfect for 2 minute revision of the complete Permutations and Combinations chapter. Includes content on permutations, combinations, grouping, arrangements, derangement and much more.

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Uploaded on
March 2, 2023
Number of pages
2
Written in
2021/2022
Type
Summary

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PERMO1ATION COMB NA TIONV
GRundeunta?uni C6hg3 hoal usts e nLy
4
po10A'ons A& b con ue pole'vntd in lims ym þoimts (mo colliman)
m&n wcuys
collinua)%"G+
. Aama B (Am u Pns uy n poumds (m hsirnds
puyammiod im wayd. Dagonas ga pelygon (msidus) ""G-»=nCh-3h
mm =
A ah 6 Ju
con
Huyomued In m+ wdp
RERMUTATONSKno af attonsumunis7 y jonqus Jyn pouds (no øllnien) =n Ca
P ul a ons o e dhungs all dishmal Jy n pourds (m b6ds wlbmian): "Cz -
Bunmudakon ofm hungs md uy uvwus of b8ygen efn sichs,
topm7 ata Wmu np&n Pln,a) s hau 1sch twmm on uulh poygon n(n-9) 2


ubiwon ds mat cllouuud Ahn GD hu 2yelus tomm nuuh polygon-n
2fakin at a i = n, Chauug noAJolu Lomon
Hopidon auedl PE4 od imdvion ef nbnss 1 a- n - n(n-4)
Y
uhn
3) takun all ta hmt n!
ond" 4ar ptPon
ot alLsuud ond allouud uspihi uuy. mevu 4 LOmuvt an þarral
m au lonwvtnd á non is parral nG-Dg4
Lu-umdad ons cy hims not all oishinl
P. omhumgs sud uwh , May. poimds ef imlvTLNOn nwuls 2
od and k au
aluk Mo'k jntvurto f*m n h+2"%
amo wuls.
Umdur vdain usUi cH'ons Rlongls efony u In:
+2 hL"C


JD imludid im (e6uawu uzi mkn =+) (En)E
vampmim
whin umD of alyuds au T i Imue *
3kun m
sipds always e u Boguhu= m squau of omy au 1
mX(m-mtD 0 w nXn nna2n+ i)
Glan mudakons dsi pxn 6
(pn) =~ (ns1-3)
OP.enH sbyuts tukny ata tim l (p+1-)
2dm dl blyuds takn all (- La ons in uth m toplonan limu diwc
3)f6 ulekuus ond ombdotkuin & a-!
aplonu ln+
Umloniuy (galomel, nudlbo de) &
BANR OEWbRD Hano. "A*6 "; RR au
m-
To/md ank, Jnuu au aoomqus im Tstal dbuisou: dt)A4t) ** (ditD ptum1od
lpho uhtos sdwr Cnol h n pLmuud
um af al dusos ( N
CON5NATON no ef seluus) ow )
No ef wcupo suoolauwy m 0s
sudign e ony no. o y i s 2 l4d,)(4). 14k) +J produnt no
ef 2/o-ctos
paeld suua
i on o ony nu.gobLds (auos. C1,MHAD(+d) (ltd]nis matpur
8heusdJu g )
Ne-e duari
pwmas o) ugelwvig
wp mas
k"ptGdut pudut ao
dumi ta yds

Sud tene ony md.(it ktal) ci obpds M
= OMOToB AUYEKIRAAC
obuws Rupidih m aj cguts s mat allguus.
, ou dishmd sds ej idb) tal 3um o muwmu
omd m ou ddmd oys un ,4 (Jum of cUgds) (n-)
C1O-1)/
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