L2-3
Q10.
T\aro Counfing Principies
Sketch an ellipse with major axis 4 units long and minor axis 2
*",o,nll,,owingproblems
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1.
Ward Robe has 15 pairs of slacks and 23 shirts. ln how many different ways couid he select a slacks-and-shirt combination?
2.
Nataiie Attired has 20 dresses and77 pants outfits. In how many different ways could she select a dress or a pants outfit to wear?
3.
A salesman has 7 customers in Denver and 13 customers in Reno. In
how many different ways could he telephone
a. a customer in Denver and then a customer in Reno?
b. a customer in Denver or a customer in Reno?
4.
Sally visits thepet store. There are37 dogs and 15 cats. In how
many ways could she select
a. a dog or a cat?
b. a dog and a cat?
5.
A pizza establishment offers 12 kinds of meat topping (pepperoni,
sausage, etc,) and 5 kinds of vegetable topping (onions, green peppers, etc.). ln how many different ways could you select
a.
b.
6.
a meat topping or a vegetabl.e toppi:rg?
a meat topping and a vegetable topping?
A first grade
class has 13 girls and 11 boys. ln how many different
ways could the teacher select
a boy and a girl to go to the offlce?
a boy or a girl to go to the office?
a.
b.
7
.
B.
4lmding list contains 11 novels and 5 mysteries. In how many different ways could a student select
a. a novel or a mystery?
'
b. a novel and then a mystery?
c. a mystery and then another mystery?
A submarine practices attacking
a convoy that has 20 cargo ships and
5 escort vessels. In how many different wlrys could
a cargo ship and then an escort vessel?
a cargo ship or an esco:t vessel?
a cargo ship and then another cargo ship?
a.
q
i.
9.
it attack
The menu at Valerio's lists seven kinds of salad, eleven.ent{ees, and
nine kinds of dessert. How many different saiad-entree-dessert
meals could you select? Meals are considered to be "dffirent" tf
any one thing is different.)
10. Admiral Motors manufactures
cars with five different body styles,
uses eleven different colors of paint, and has six different
interior
639
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Frobability-Day
L
lity Probl e ms
Kristin has a bag with 3
pieces. She will
LWhat is the probabilit
b. 4/13
a.%
Bo
sic
P robabi
2. What
is
g
contains 4 pieces of pink chalk, blue pieces and 5 yellovu
a pink piece?
e. none ofthese
d. 4/4
pink and blue piece?
the probability she will choose a pin
d. 13
c.%
ttLo v
3Ull'',H{ffi'|'*s
ohly choarrng t pi ccot,
b.0
d.
c.%
e. none ofthese
e. none ofthese
13
q 13
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Counting Techniques: AND vs AR
KEY IDEAS:
"AND"
i,
$i
"oR"
tf you do one
lf you do
event:!:!:!iA!
on..u.,f,[he
'*n"r,you witt
fnUl t i f lY
other, you will
Examples:
4. Elaine has 18 pairs of shoes and 25 pairs of socks.
c
pair of socks?
ln how many ways co
l8'a$:
o
ln how many ways co
e
ln how many ways could she choose a pair of socks
*l8t&5'
e1 -21
trU0 v{a
ree dressings.
5. A burger house offers two types of buns, two types of cheese, four veggi
cHowmanywayscouldyouselectabun,acheese,@
,?--a ,rl ,?
l*
4,...._.=,ii
e
How many ways could you select a urn
=H8 w4Js
un@,
esefilaveggifila
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9-L1J
3
a'""in{[
Using the letters in the word C0[4PUTER
o
ln how many ways could you pick a vowel and then a consonant?
6
ln how many ways could you pick a consonant or a.vov/el?
e
Hovr' many
iv
different four-letter words could you make using no letter more than once?
Try on your own:
An Algebra class has 4 freshman, tr 3 sophomores, and 12 juniors.
7. How rhany ways are there to choose a fre5hman and a so,J
Lt. t3 c
8.
How many \^/ays are there to choose a freshrna@p sophornore?
9. Within
if,*
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B
ways
in both choir
a high school there are 100 students in choir, 120 in orchestna, and 30 students
andorchestra.Howmanystudentsareinchoirororchestra?.,.#
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ftv?u
120,1
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