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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 5card
draw from a deck of 52 cards. You do not need to simplify your ﬁnal answer. 3
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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’
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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 36). 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
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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”)
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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 ,
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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—akind? Recall: a poker hand is a
5card 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 36). 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\ .
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: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
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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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 Spring '08
 Evans
 Math

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