CS计算机代考程序代写 AI Q’t a Treat pair each as a single object giving 5

Q’t a Treat pair each as a single object giving 5
objects Since left a night are distinct

2 5 ways ie permute r re baby g gz
T2

b a Choose ref first 23 ways
choose team Ff

23 2 ways 16224936

choose team 2,3 then Mf Y
12 3,3 ways f sanae

e Permute DI BT with gaps di la les ly
DIAOBAOT 4 perms

then choose 4 of 5 gaps
4 y ways
de

d Outcome set DX 23 a 56
I O
Z O b
3 o o co
4 o o o
5 o o o o
6 o y o G o

i 21 events Tej Probltij Iz
i prob z21

QI a K Yc choose size k team from n set then choose
captain from team

n YI choose captain from n at thee choose
K teaux from remaining en n sleet

b i RE
o
du the set of a ship binomial putts

with k east steps
Dr 623

1 if pi EMap Tire Nr Tfp pn bib bn bi fo offense
ii r Ii lie the BYC

Bonk setof instep bin paths
with k eaststeps one marked

Ip set of tuples 1 E Es with an entrymarket

I if pi ET b re Pcp pn bi ibn bi E if pi E
0 others

checkid n a 114 442 t3 5 4144 r
G t IZ t 12 tu 32 4.23 4.8 32

ko i L 3 n I z
c Chel I t 3 51 7 16 k

n 4

Prof HIIIF
I 1

a Gat

B
B

IBD IRI 14 1191131 6

IGI Il IRAH 5 IRAGABI 3

IBI 41 113A 1 5

IRUBOC t 14tlltl.to G 5 5 3
36 16 3
23

b This Q might have been interpretedin two ways Bothi ai
hold simultaneously 012 i aid are separate questions

either interpretation is correct

R G B Rink BinB

www
R G B

l
C in C

All ways 3 RinRo Gin C I
Rin R 2 ways Rin R BinB 1
Bin B 2 way fine BinB I

G n G i 2 way R C Bin same 1

ht R setof config with Rin box R
B l B in boxB

C G inbox G

1121 2 1131 2 IE1 2 j i RA131 1RAGI IBNEI1 RABAH 1

ways to have at least one bull in some colour
IRI 1 14 1131 21 2 2 I I I t 1 4

3 4 2 ways to have none
in some colour

duds B RG GBR

Q4 a S In k peonsof Cns withexath k cycles
way to seat n people around k tables

up to cyclic permutation with at least I peism

per table

b To get S luck either
Add person n between each of the n i
seated people for each possible seating

n i waysto add to 5 n i k seatings
Add a new table with seats person n alone

1 way to add to 5 n r k sealings

Boundary SCn o 0 no ways toseat is at zerotables

SCnn 1 one way to seat n at
n tables

C h 3 123 I 32 312 213 231 321

1 4G c 23 132 i 2 3 123 i3 2

S zo l SC3 1 2 S 3 2 3 SC3,3 1

QI a R lab Smallest 2 oolourd kn such that there is certainly
atleastone with a redka subgraph
and at least one blue Kb subgraph in every colouring

b Th Rin y n
Prof Casey Colour km blue no blueku or red Kz Ryu n i

Cau n Colour kn blue blue ku

colour Kn with at leastone red edge Kz
exists

Ra n n

a animals

all points inside 0 are within dislane 2

of
o

partition hexagon
o o

o

PHP at least one
s contains
at least 2 pts

Inside polygon not
on outside edges
two pts cannot
be at two corners
of some D
with distance 2

O l O 1 Id
0 I
Spanes lemma different labelled subintervals isodd

Con t Cbd 2kt

Add n pts nti subintervals

S 1,1 so Oso

s So t KH htt

to show oil 11,01 1

Induction o i i ar o o i tried
Assume true for n i pts minting

oil k 1,0 k i

Q1 11,0
Add pt a 0

Case 0 I O 1 1 801
f

before
Cas 0 I I 8 0

Case l l O 8 0

Case I I I 8 0

Case O O O 8 0
before

O 0 1 S

1 o O S

1 F I 8 0

True for all cases of n pts

Q6 i 129 2 7anti au 9 95 2I

2m90Nantz fxnau i Ioanneo
12 x an 7x an air C4 of

12C xoao ka t G 7 x xoao t7x C God

12 2 2x G 14k t7xE Ex

C 12 7 at x2 24 10K
C 241

12 7kt x2
ii 12 7 12 3 a 4 x

24 10K
12 cc I
24 102 A 424 133 x

01 4 64 B 2 3 54 A
E EE 5 stood 4 44

51 51 61 GOLF3 a
an EgLgn 16 n n 10

b x2 3 2 Eisenbn ite
mo

E antibn 3 xnHbn 2 xnb Itd
no

a bn z 3,2 Knbr t2Exnbn It x

1 07 2b I 3 bo 42
x 3bo 2b I b i’z It 3 E E

xn bn z 3bn t2bn o

07 a

b ht Pn set of all pairingsof n board
1pm Dn

Rc Putz Ir Put UDn

T err ok

T b bDo if bEPn
biz if been

17 Well define T b E Pntc i case adds cell but
ritz
pavin

use add diwanto n
ntc board

c x Putz xtpn EachPn

Ich Pn a or Pn tape
1 z
xD e2Pz tp xfxP t p t x2p

x 2 2 P sc x t P touts

P xi I t’t t
I X XL

l se od tht
Z

3 I t PG t 1
I se x Z

d it P ng Io 7 aznar
see lecture notes

0,8 a 23145 7 24531
I
a i o 12345 o 12435

23145

ii or 31245

iii 2314502453 I 134,74
iv is 24531

3 IF 1,5 2,5 12,4 3,51641
4 4
5 t 4,5

6
v squat fi 1

I s o sis
b sign x parityof trans’t If a t o oh a f no orm

of t o oh o r o orm parityofGop
partial party

0117 EIHitti
a I 23 4 56 7 1623457

I 23 4 56 7 56

I 2 341 7 45
I 27,6457 34
I 2 6 3457

1623457 23

1623457 1236567 o 56 o 45 o 34 o 23

panty m2 even

b i
g

X
X 4
ex E

5 4 3 s r

i EEE
c

Sgsu 535251

ST zS
Su Sz Sz535

szzs so z.gs

nm AA Ar A A

odds Et AE h At
achoo 9 a 9

b bijection

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