rtlS 1 Y5b ----~~~~---~~~--~~~~-~~~~

d) 18 f) none of these C} 9 b) 13 a)28 Find the number of desserts that contain caramel.

26 desserts contain chocolate 26 desserts contain nuts 13 desserts contain chocolate and nuts 8 desserts contain chocolate ,an,d caramel

~ 14 desserts contain nuts but no caramel 5 desserts contain chocolate, nuts, and caramel 9 desserts contain none of the 3, items (no chocolate, no nuts, and no caramel)

1) A restaurant makes 50 different desserts ..

Directions: setect the best answer for each question and r1e,cord your answer on both the op1scan and the t1est. Yeur answers on the opscan wil'I be the answers that I g:rade. Good luck and please ask if you have any questions. Ap,pmx,imate answers have been rounded to the number of places 1given in tihe answer cholces,

Incorrectly compl,eting the above instructions will result in up to a 4 poi1nt deduction from vour grade.,

G r. .!,lk/ ~~~iu~~~::~m 3 FORM B ~ame: .,,...f_=--!--- .... --~-------- On the epscan, print your last name, initial of first name, and vour UID then

fil.l in the corresponding dots. c,orre,ctlv Put your ,ops,can YOUR ANSWERs 1in the approprliat,ely mar,ked 118i1'

envelope ,in the front of class, FORM B (Gi:reen) Labeled Envelope. IF you want them graded.

Your test. packet (queettons), print your name and circle you1r answers. You wUI look up y1our seore and the answer ,key 10n Reg,gieNet Therefore, you are to take your test questions wiith you when you l!eave.

tj {O, 1, 3,4,5,6,7,8, 9} f) none of these

s = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A= { 7, 3, 5, 8, 2} B = { 2, 5, 0, 1 } C = { 9, 1, 7, 5}

b) { 2} e) { 1, 4, 5, 6, 7, 9}

4) Using the sets below, 'list the el'ements in the set(A n B)u

~ ;30 -Le, ~,y

3) Given n(S) = 30, n(E) = 18, n(E u F) = 25, and n(E n F) = 9, find n( F' ). a) 3 b) 9 c) 23 8 e) 16 !) none of these

n ( r') ""n(S) -nlP) "'IE (J F)~r1LB) +fllP) -n lE11F) 15 ~ 1g 1-/lrf' J -r

rvE' l=ti;

Find n((A n B) u C). a) 48 b) 2 c) 4 f) none of these d)26 8

ar c

{6,3)

(1, 1) (1,2) (1, 3) (1,4)

(2, 1) (2,2) (2,3)

(3, 1) (3,2)

(4, 1)

2) Experiment: Two fair distinguishable 6-sided dice are rolled. (The sample space is given below.) Consider the following events.

Let A be the event that at least one die shows a 5 or greater. Let 8 be the event that both dice show a 4 or greater. C- Let C be the event that the sum of the dice is 7. ' .

~

7) How many groups contain at least 2 green marbles?

a) 1782 b.)1320 ~ d.)990 e.)44

(Use the following for the next two questions) A bag contains 4 green marbles, .2 yellow marbles, 3 red marbles, and 6 blue marbles. A group of five marbles is randomly grabbed as a HANDFUL from the bag.

6) How many groups contain none of the blue marbles?

a.) 6 ~ c.) 24 d.) 15120 e.) 40

(_. \'ft (A,~ -l I 6 tJtYr f/1,(J-'1. ) O>JV"\ ~ cl~.5) = J2lo

5) A test consists of two parts. Part 1 contains 8 questions to be answered true or false. Part 2 contains 6 multiple-choice questions each with 4 possible responses. How many ways are there to fill out an answer sheet if a student must complete both parts 1 and 2?

a) 8264 ~ c) 8'+6' d) 28+4' e) 82+64

cCUJ.L/)

3D.~1- o ( w ~ ((Jv'tk_ ;ti 0 f\.l(1l. "'- ~

f) 604,800

10) Out of ten possible singers, you are to select three singers to do three different solo roles (a first, second, and third solo) and then they need to pick four additional singers from the remaining singers to form a chorus .. How many different ways are there to do this? B b) 755 c) 100,800 d) 960 e) 120

1 ~ cf.., .-u.r) /\fu csiW rJ u N (24 "" .\s

(( l( - 62-7----- c r ~3'f ~rggr._,, --- -

l~ '( t: /D '( t- tb y ::c Vl'.J I OU .J (( /6

9) How many 7-digit telephone numbers are possible if the first 3 digits must be 821, 827, 834, or 836? (the remaining digits in the phone number may repeat)

~ b) 20, 160 c) 80,000 d) 40,320 e.) 6720 f) none of these

l

d) 150 c) 120 b) 100 a) 70

8) A survey of 250 students reveals that 60 of them live in an apartment, 40 of them own a pet, and 30 live in an apartment and also have a pet. Determine how many of the 250 neither Jive in an apartment nor own a pet.

( lJ -- ~ e) 310 c) 24 b) 720 a) 120

13) Ten students are eligible to receive 3 scholarships. The scholarships are in the amounts of $3000, $2000, and $1000. How many different ways can the scholarships be awarded lf a student c~e more than one scholarship?

(J 8 ~ ..t ~ "..,.+.> O ( W ==- rtM l-L

d) 10+3 c) 10 3 a) I 03 e) 120

6) Ten people are eligible to receive 3 different prizes in the amounts of $50, $100, and $2.00. A person may not receive more than one prize. How many different ways may the prizes be given out?

11) The letters in the words SUPER BOWL are to be used no more than once each to form sequences of 5 letters. How many of these sequences contain exactly one vowel?

a) 5040 ~ c) 1080 d) 25,200 e) 1800

~ tJ Q.\.h ( ;l1J ~l (U if{-'.~ ":i

2 s I

f) none of these e) 210 d) 1077 c.) 1056 8 b) 5040 v. ( 15., i'