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Math Problems
Algebra 1
Counting principle
Philip is in the garage getting ready for a day of fishing. He needs to pick out one of the
3
3
3
fishing rods and one of the
2
2
2
reels. How many different ways can Philip pick out fishing tackle for the day?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
ways
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Colette is creating a media center. There are
2
2
2
televisions and
5
5
5
sets of speakers to choose from. How many different entertainment centers can Colette make?
\newline
_
_
_
\_\_\_
___
entertainment centers
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Shelby is ordering a single-topping pizza to share with friends. There are
3
3
3
toppings to choose from and
6
6
6
crust choices. How many different pizzas can Shelby order?
\newline
_
_
_
_
\_\_\_\_
____
pizzas
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Eli is building a set of reference materials for his office. He can choose from
2
2
2
dictionaries and
5
5
5
thesauruses. Assuming he wants only one of each type of book, how many different sets of reference materials can Eli put together?
\newline
\newline
_____ sets
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Shawn has an assortment of mismatched dishes, so the dinner table looks different from one night to the next. There are
2
2
2
kinds of plates and
3
3
3
kinds of glasses. How many different appearances can a place setting have?
\newline
_
_
_
\_\_\_
___
appearances
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Quincy's video game lets him design the appearance of his character. There are
2
2
2
different bodies and
10
10
10
faces to choose from. How many different characters can Quincy design?
\newline
_
_
_
\_\_\_
___
characters
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Cora is choosing silverware with which to eat dinner. There are
10
10
10
knives and
2
2
2
forks to choose from. How many different silverware sets can Cora choose?
\newline
_____ silverware sets
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A doctor wants to subscribe to some magazines so that her patients have something to read in the waiting room. She wants to subscribe to one of
9
9
9
news magazines and one of
2
2
2
fashion magazines. How many different combinations of magazines can the doctor order?
\newline
_
_
_
_
_
_
_
_
_
\_\_\_\_\_\_\_\_\_
_________
combinations
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Jaylen is ordering an ice cream sundae with one flavor of ice cream and one sauce. There are
5
5
5
flavors of ice cream and
2
2
2
sauces available. How many different sundaes can Jaylen order?
\newline
_
_
_
_
\_\_\_\_
____
sundaes
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Sanjay is building a set of reference materials for his office. He can choose from
4
4
4
dictionaries and
2
2
2
thesauruses. Assuming he wants only one of each type of book, how many different sets of reference materials can Sanjay put together?
\newline
_
_
_
_
\_\_\_\_
____
sets
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Maria is putting together an art kit. There are
4
4
4
sets of chalk and
4
4
4
sets of watercolors to choose from. How many different art kits can Maria set up?
\newline
_____ art kits
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Kinsley is creating a media center. There are
5
5
5
televisions and
2
2
2
sets of speakers to choose from. How many different entertainment centers can Kinsley make?
\newline
_
_
_
_
_
_
_
_
_
\_\_\_\_\_\_\_\_\_
_________
entertainment centers
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Alex needs
80
c
m
80 \mathrm{~cm}
80
cm
of thread for a sewing project. The thread is on a spool with a circumference of
10
c
m
10 \mathrm{~cm}
10
cm
.
\newline
How many times must Alex unwind the spool to get the length of thread he needs?
\newline
□
\square
□
times
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While having his kitchen remodeled, Marvin discusses the options with his contractor. There are
3
3
3
countertops and
5
5
5
sinks to choose from. How many different kitchens can Marvin design?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
kitchens
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Eli is planning a workout. He needs to choose one of the
3
3
3
cardio routines and one of the
6
6
6
resistance training routines. How many different workouts can Eli plan?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
workouts
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Sam is making a short film. There are
4
4
4
leading actors and
5
5
5
leading actresses to choose from. How many different ways can Sam cast this short film?
\newline
_____ short films
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Caden is selecting animals for a new petting zoo. There are
2
2
2
ponies and
5
5
5
rabbits to choose from. In how many different ways can Caden create a petting zoo with one of each animal?
\newline
_____ petting zoos
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Michelle is putting together a business outfit. There are
7
7
7
pairs of pants and
2
2
2
dress shirts to choose from. How many different outfits can Michelle put together?
\newline
_
_
_
_
\_\_\_\_
____
outfits
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Shawn is hosting a game night. There are
2
2
2
card games and
7
7
7
board games to choose from. If Shawn and his friends want to play one of each type of game, in how many different ways can they choose the games?
\newline
_____ game nights
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Britney is ordering a single-topping pizza to share with friends. There are
4
4
4
toppings to choose from and
4
4
4
crust choices. How many different pizzas can Britney order?
\newline
_____ pizzas
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Sophie is making a quilt for a friend's new baby. She knows how to sew
3
3
3
quilt patterns and can choose from
2
2
2
color schemes. How many different quilts is it possible for Sophie to sew?
\newline
_____ quilts
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Abdul is ordering breakfast in a restaurant. There are
6
6
6
types of eggs and
2
2
2
types of toast to choose from. How many different breakfasts can Abdul order?
\newline
_____ breakfasts
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Reggie is ordering a sandwich from a deli. There are
2
2
2
types of meat to choose from and
3
3
3
cheeses, and Reggie must pick one of each. How many different sandwiches can Reggie order?
\newline
_
_
_
_
\_\_\_\_
____
sandwiches
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Laura has an assortment of mismatched dishes, so the dinner table looks different from one night to the next. There are
2
2
2
kinds of plates and
2
2
2
kinds of glasses. How many different appearances can a place setting have?
\newline
_
_
_
_
\_\_\_\_
____
appearances
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Sandra is ordering a birthday cake for a friend. There are
2
2
2
cake flavors and
2
2
2
frosting flavors to choose from. How many different cakes can Sandra order?
\newline
_
_
_
_
\_\_\_\_
____
cakes
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Roxanne is ordering a new skateboard. There are
3
3
3
shapes to choose from and
5
5
5
types of wheels. How many different skateboards can Roxanne create?
\newline
_
_
_
_
\_\_\_\_
____
skateboards
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Ethan is creating a media center. There are
2
2
2
televisions and
6
6
6
sets of speakers to choose from. How many different entertainment centers can Ethan make?
\newline
_
_
_
_
\_\_\_\_
____
entertainment centers
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Kendra's video game lets her design the appearance of her character. There are
2
2
2
different bodies and
3
3
3
faces to choose from. How many different characters can Kendra design?
\newline
_
_
_
_
\_\_\_\_
____
characters
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Stefan is designing a web page. There are
2
2
2
background colors and
2
2
2
fonts to choose from. How many different designs can Stefan create?
\newline
_
_
_
_
\_\_\_\_
____
designs
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Monique wants to check out as many books by her favorite author as possible. She can check out
3
3
3
books at a time from her library, where there are
6
6
6
books available written by her favorite author.
\newline
How many different sets of
3
3
3
of these books can Monique choose?
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A basketball team has
10
10
10
players. Before each game, the coach picks
2
2
2
of those players to carry the team's water jug.
\newline
How many different groups of
2
2
2
players can the coach pick?
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Five runners need to be arranged in
5
5
5
lanes for a race so that there is a runner in each lane.
\newline
How many unique ways are there to arrange the runners in the
5
5
5
lanes?
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Neha is playing a word game where she's trying to make
3
3
3
-letter words using letters in the word TIGER. She cannot use the same letter twice.
\newline
How many unique ways are there to arrange
3
3
3
letters from the word TIGER?
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Tracy is packing a lunch box to take to school. Tracy can make
2
2
2
kinds of sandwiches, and there are
2
2
2
kinds of fruit in the house. Assuming Tracy packs one of each item, how many different lunches can she pack
?
?
?
\newline
_____ lunches
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