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Intermediate Algebra: 10.2

  • 1. Comb ina#rorls RrcoP, I f. Uartl' f! fiake-. a mit *pe- v;tA {sry enJ trl ousi<-l;6rooyMs l{ so4gs, h.uJ Oarty d;tQer,n, mixlales q4 I /ek"-? I lt) Ir"* ; P T put { s"r?' o^ c slutf l-J P/"yl'sP! lJo'.t i+ /ousrtY /Da**er &lhat' order t1.- So49,s .*',h' fikAl JlfC"rvlt- So ho3./ ployl'sts qn f ek-? ffil A camLiAqfion r! G *.,lcx+bn ot ohjoots goorn c '. gfioup o0 A obit*s s'1are-ocd+r tS tlol inpocfartl, n! f = b-,)!'r! A-r I ql = (q-5)l 61 A e ^,C
  • 2. oA yt q S*udeaYs ane/ vo14 *o bo on rk, pnn Coctf* Sc.- & $oup oC I st*t/ettft, hout lrlertT d;rco"ro ( _-_ Pr--' cturts am.foSSi6to? {a'cd h"ac/7 qnt b,e- droqrt Hou,t tDcny diFero-trl' Ccnr 6 Jotx oCtJ '-tdg? . Hout fiarlc/ cn./s af e-..l.,^ -st-!! otY" " l"A? . llod naA/ au.Js oF eneA @ a.r<-tA " der,k? '/n ivrutmay t ar/ knds o(- o.ll car/s yla scne' su;+7 LI.L t3 ! 4t t?! O (rcA! {! ' --r.-:-- =-;-- o sj g! f! . . / =Q-t)!'L! -=- t4 1 3" { -z f---------l (f o ';- L1 /oss;[|"- Sui]s 13 c*'ds i4 a 3ivea sai* ( u,Jt7 a
  • 3. t h ku nonT { c-,o.d honlt G(Y' qll ca./s r4'- Seme c.ol-rl (- Flulriob 6r-*tJA+ B o" B 'tF pu darrl *' knou llu- Aurnbcr oC t^,rcys g/- A, c-1^ acl''ur. You A22-d t MpJv . t C you daa* ]o kn',^t *L. a.,rmlar o0 uv/t A t B oout(, Y"u netd fo C-.o'A ( sa't1iorJ, {iuniors, L( f.pAoncN-s, S*u/oltt- Senclp. hat cAd 3 Pr.llnmezt. Plout otatty <.onniftea's oF ? Joniors I iuniors (AA 6- cJ'-seti @ ,h --f+ #,--) "ry r .<- y_-:, a t r --.t- a .( ?-t f v'-t c- -- tst:)!f J Sa<Ja( ^ Ll sfu/ert/s ca1 czr$n;4+?za oE @! 'Ho u ) ficn./ L' Ohoje'rl! 'oq7 ( t s Cr ',C'r'"C'*''C 'l J
  • 4. U)"t c(E- dreurirg 4 {-'-.d hond l,>^ 6 l..K { "Q tl <-.r/s. flor1 rttaay hortJs heuz' 7- or.- qr1cy' 4 a-/, glrag 4> l,/o* a"-^s? (*, lo, A,7, (_- 7 Q) ZUXW1A /o.] @"-D (ko l3i noni al -f 1,".o-.-r1 ,u/nr.D;"X^ Expanr! Nolloutitt binon ials *Ae' 7x ny)g (ar +l7)r lina Npaaliort sf QLF + 6yuf +t- 4e fr-m ;n +1n, I .,X ,l
  • 5. Pasc^elsTria,ylo (a+b)n !=o I (a +6;u= 1 b + b ' t ' =6 ,+ - b / ,a t n. I rl - -1 l (a+b))=a1 +)ab+La l"{ I 3, 16rbi = Ge 3ELr3a'9 E | + I / / / / /', t =q +Ta'L e a'e+%F rl t1 ., 6.'' q. ' t (a t / 'bf ,/ / { '/ f (a+L)r=a' 1f to lo' Pqs-f's Tria4gL c^n Le- ulci+*"aas comL|nch's1s e u Cu / ,C o , C, r/'r' av I ,. 2-o ,/ r/ I d-" nC, .,j ' ^'-l/- {u./ka+,i 1*o 7A enfry irt tt. tott, fo<-/ I Pascc.l'sTria19lo7 r ' f,
  • 6. Tho 13non ;a1 Thenre,rrt i (- ( o * bf , nC'.e".bo * nC;4" 6' * nCroa-r6a +... + n C n ' d.tn Lr/ha{ is 14'- coe,t?roi"ot+ o0 rlp cl tt b.,l fn A4t- eXpattsiort o6' (q+b)'u ? .r7 /Z _ , - lo - 3 / 3 LD L o I ,o C= -_r2"l i U) r i +e. +lv- uYpan| ort oC (:x * ^ff brb)r o , =3 x L=)y c.--P€,2,ie4g *6$ q=1, r no Ll Ac{b,Q}rt' o rc,J b)' +loG'jbrf + to Gr)'hyf, SG,)' y)+|(s,l"(Y 11:")t ay)" b t 3a ?q7 x" y fG r x q) b) + lo(a z x 7 )(4 Y "+ / o Gf)@;) r'{GxlQe;t1 Yr ) (_ -^qr*t +2Lloxy't +32y{ * 6toxuYL loroxly" rhox'yt 6
  • 7. G)ri+c- +tv- e,Kpansiort (./r-l)r oP 1 -- @rb)t-- J( 4x r ( at G- $= I 7
  • 8. 1 . A committeeis to consistof two members. therearefour men andfive *o-.n If /, ': 3 /. ^ to serveon the committee,how manydifferentcommittees be formed?Y - can ( ryailable Cf1atr * .f ro F) 72 tcl 40 tDls4 -.,/ .7 n - Howmany different 3-card hands bedrawn can froma standard of52 playing deck c ^atZ /<a7 -'/u, 3 . A lunch menuconsistsof 5 different kinds of sandwiches, different kinds of soup,and 5 2 | different drinks. How manychoicesaretherefor orderinga sandwich,a bowl ofsoup, S D anda drink? $(r)rr; 4. Twelve peopleareenteredin a race.If theni areno ties, in how manywayscanthe first , ^f tx"1 threeplaces comeoutT---'- _ 1288 rAr q9 tctz64o lDl 36 5 . Find the numberof distinguishable permutatPi4the leftersIOWA. 4l r3 =r lAt 12 [B] 16 Vy [D] 36 6. Find the numberof distinguishable permutations the lettersHONEST. of Y al =-J "t-o 7. You own 8 travel books andaretaking 2 of themon vacation.ln how manywayscanyou choose travelbooks 2 fromthe8? ,(t '1q t"d- - r0 8 . How manydifferentwayscanyou arrange scoops a cone? four on 4'l,a't A4 = a1 9 . A collegehasnine instructorsqualifiedto teacha specialcomputerlab coursewhich 1 0 . Find the numberof distinguishable permutations the lettersLUCKY. of €l -- t tO 11 A four-person committee chosen random is at from a groupof l5 p"opt.. uo* /lf] differentcommittees possible? are -*y t 4b ( lT / 12. From a group of six boys andfour girls, a boy anda girl will be selected atlenda to conference. how manypossible ln wayscanthe selection made? f 6 /+] - ' / d be _ 4 Ir,)(,/ tj cs',--,