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test1sp09 - MATH 1711 TEST 1 SPRING 2009 PAGE I WORK ALL OF...

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Unformatted text preview: MATH 1711 TEST 1, SPRING 2009, PAGE I WORK ALL OF PROBLEMS 1 AND 2. 1. (14 points) How many poker hands contain one pair? Recall: a poker hand is a 5-card draw from a deck of 52 cards. You do not need to simplify your final answer. 3 C(’3)I)’C(Li,a\g C(1Q,3\‘{C[%lfl W « SudS (:1,QJ\CNY\\YUL+\®LS gufig CiLAomMo/“lw QDC (QC 3% w“ 9w PM P m cam: male 2. (14 points) An urn contains 5 red7 2 blue, and 6 yellow balls. Five balls are drawn out from the urn7 without replacement. How many outcomes contain at least 3 yellow balls? You do not have to simplify your final answer. 2% (adieu) ’3 35c Ll o< g (adieu) 1’ ' mile? & WW1 1m “Ciggffl’i‘cifi Jr CHDMNCHMB + C0053 O‘Q 0M5“? MATH 1711lTEST 1, SPRING 2009, PAGE II Print Your Name: Jéég”) ______________________________________________________ TA. or Section Number: _______________________ WORK ONLY THREE (3) OF THE NEXT FOUR PROBLEMS (NUMBERS 3-6). WRITE ”OMIT” OVER THE PROBLEM YOU DO NOT WANT GRADED. IF YOU DO NOT INDICATE WHICH PROBLEM TO OMIT, THEN ONLY THE FIRST THREE WILL BE GRADED. 75 3. (14 points) Find n(S H T) given that 71(8) 2 5, n(T’) = 8, and n(S U T) :— 9, n (“3’1 m {\ [SD A: CA M15532 NT): @7 i i § ; a i 2 i i l i a i i E g \l "\d m l D F'\ M 3 ~\ g/ 4. (14 points) A comedy club has a list of 10 comedians. There are only enough spaces for 4 performers in tonight’s Show. In how many ways can the comedians be selected and i arranged for the performance? You may leave your answer as a product of integers. 6300,51) :- (O ,9, gr”) 5Q. (lath-W A0311“ 53’” omswef 5. (14 points) In how many ways can six men and five women be seated in a row so that no two women are seated next to each other? Leave your answer as a product of integers. ..._——- m Mmmflmnflnm M Plum mm m u M3%: W Pick 6100“ J30? ”CM CM LOW flm 106115\ (25%: a . _ AI, \ p lil.7rér§’£’/~3" 2:1) (I): r((16\ ,ww, (0&5?) 6. (14 points) A corporation has six employees that it wants to promote. One will become president, two will be Vice presidents, and three will be appointed to the board of directors. How many outcomes are possible? You do not need to simplify your final answer. (9 ~— M! to .3 9,3 )[ngi % &' C(Q‘iW°C[S'Q\ 'Cé3)3\l MATH 1711 TEST 1, SPRING 2009, PAGE III Print Your Name: _- _ __ if”: _________________________________________________ T.A. or Section Number: _______________________ WORK ALL OF PROBLEIVIS 7 AND 8. 7. (9 points each) Let U 2 {people at Georgia Tech}, A : {students at Georgia Tech}, B : {professors at Georgia Tech}, and C : {redheads at Georgia Tech}. (a) Describe in words the set (C H B’) U A. : reci Media who M “01 W3 353 cc snare/M: air Gabi?“ (“h (b) Draw a Venn Diagram to represent the set given in part (a). 3 8. (14 points) A pizza parlor offers two types of crust, five different cheeses, and six possible toppings. How many different pizzas with one crust, two cheeses, and any number of toppings are possible? You do not have to simplify your final answer. i , u c , C(21D0C(€,Q\” i vaZ‘éQS \N W \ '7.le CL [JR/K 0‘ , ti: Poe/L33: WSQ Q02? fippmgfi {We at: (tit (93+ (9+~~ +63 / MATH 1711 TEST 1, SPRING 2009, PAGE I WORK ALL OF PROBLEMS 1 AND 2. 1. (14 points) An urn contains 7 red, 4 blue, and!) yellow balls. Five balls are gErawn out from the urn, without replacement. How many outcomes contain at least 3 leg 'alls? You do not have to simplify your final answer. 1 228 czmqoesm ‘1‘ C(Wlefioc(fi,2\ Jr MILD-”CK?!” A: (“C/t5) 2. (14 points) How many poker hands contain a 3—of—a-kind? Recall: a poker hand is a 5-card draw from a deck of 52 cards. You do not need to simplify your final answer. MATH 1711 TEST 1, SPRING 2009, PAGE II Print Your Name: ___1{.Q(%,__-_D= _____________________________________________ TA. or Section Number: _______________________ WORK ONLY THREE (3) OF THE NEXT FOUR PROBLEMS (NUMBERS 3-6). WRITE ”OMIT” OVER THE PROBLEM YOU DO NOT WANT GRADED. IF YOU DO NOT INDICATE WHICH PROBLEM TO OMIT, THEN ONLY THE FIRST THREE WILL BE GRADED. 3. (14 points) A comedy club has a list of 9 comedians. There are only enough spaces for 5 performers in tonight’s show. In how many ways can the comedians be selected and arranged for the performance? You may leave your answer as a product of integers. 901.9: W4 (0’5 were at; f (6258“? 4. (14 points) A corporation has eight employees that it wants to promote. One will become president, three will be Vice presidents, and four will be appointed to the board of directors. How many outcomes are possible? You do not need to simplify your final \ <5\ . <3 ,/-7 t.) S at» 5 2‘32 ‘2 9% answer . éfii C (EMT CL/I‘3\‘ (102/25 a i g . g E 5. (14 points) Find n(S H T) given that 71(5) 2 11, n(T’) = 13,.fid n(S U T) : 12) MA A{M\:l6~ ALIVE/:1”); 55) {\(T\:@3 {\(SflT\C :2 21+93"’3 6. (14 points) In how many ways can five men and seven women be seated in a row so that no two men are seated next to each other? Leave your answer as a product of integers. mmwmmammw W~»\,W~»WW~ ivwwyfimw Mam”; m1“: MATH 1711 TEST 1, SPRING 2009, PAGE III Print Your Name: jfiLfinfng: _____________________________________________ T.A. or Section Number: _______________________ i WORK ALL OF PROBLEMS 7 AND 8. , 7. (14 points) A pizza parlor offers three types of crust, four different cheeses, and seven ‘ possible toppings. How many different pizzas with one crust, two cheeses, and any number of toppings are possible? You do not have to simplify your final answer. 0 F\ i» 3 (X m :9 & 52) 41 ‘9, N E X) ,3 l m 0*) c/ P; ~i3 J + _,_ /\ NW § x z z 2 § 2 l r E i g F i l 3 s i n 3 § i i 8. (9 points each) Let U : {people at Georgia Tech}, A 2 {students at Georgia Tech}, B : {professors at Georgia Tech}, and C : {redheads at Georgia Tech}. (a) Describe in words the set (B H C") U A. (b) Draw a Venn Diagram to represent the set given in part (a). ...
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