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Math Problems
Grade 6
Counting principle
Shelley is putting together a business outfit. There are
3
3
3
pairs of pants and
2
2
2
dress shirts to choose from. How many different outfits can Shelley put together?
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_
_
_
_
_
_
\_\_\_\_\_\_\_
_______
outfits
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Gary is ordering a sandwich from a deli. There are
3
3
3
types of meat to choose from and
6
6
6
bread choices. How many different sandwiches can Gary order?
\newline
_____ sandwiches
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Vince has an assortment of mismatched dishes, so the dinner table looks different from one night to the next. There are
5
5
5
kinds of plates and
3
3
3
kinds of glasses. How many different appearances can a place setting have?
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_
_
_
_
_
_
_
_
\_\_\_\_\_\_\_\_\_
_________
appearances
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Ron is making trail mix for a camping trip. Ron wants to use one kind of nuts and one kind of dried fruit, and there are
10
10
10
kinds of nuts and
2
2
2
kinds of dried fruit available. How many different trail mixes can Ron make?
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_
_
_
_
_
_
\_\_\_\_\_\_\_
_______
trail mixes
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Janelle, a singer, is putting together a backup band for a recording and posted an advertisement looking for musicians. She got replies from
2
2
2
lead guitarists and
8
8
8
drummers. How many different backup bands is it possible for Janelle to put together?
\newline
_____ bands
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Lester is ordering a sandwich from a deli. There are
8
8
8
types of meat to choose from and
2
2
2
bread choices. How many different sandwiches can Lester order?
\newline
_____ sandwiches
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Three students, Camila, Josiah, and Kennedy, line up one behind the other. How many different ways can they stand in line?
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Answer:
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John is working at a hair salon and building a tool kit. There are
10
10
10
hair dryers and
2
2
2
straighteners to choose from. How many different kits can John make that use one of each item?
\newline
_____ kits
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Jared is selecting animals for a new petting zoo. There are
4
4
4
ponies and
5
5
5
rabbits to choose from. In how many different ways can Jared create a petting zoo with one of each animal?
\newline
_____ petting zoos
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Terrence is going out to a pasta dinner. There are
8
8
8
types of noodles to choose from and
2
2
2
choices of vegetable side. How many different pasta dinners can Terrence order?
\newline
_____ pasta dinners
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Zane is making a gift during a pottery class at school. He knows how to make
5
5
5
different items, and there are
3
3
3
kinds of clay with which to make it. How many different gifts can Zane make?
\newline
_____ gifts
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Kiera is going out to a pasta dinner. There are
3
3
3
types of noodles to choose from and
4
4
4
choices of vegetable side. How many different pasta dinners can Kiera order?
\newline
_____ pasta dinners
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Zane is making trail mix for a camping trip. Zane wants to use one kind of nuts and one kind of dried fruit, and there are
5
5
5
kinds of nuts and
3
3
3
kinds of dried fruit available. How many different trail mixes can Zane make?
\newline
_____ trail mixes
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Sebastian is in the garage getting ready for a day of fishing. He needs to pick out one of the
4
4
4
fishing rods and one of the
2
2
2
reels. How many different ways can Sebastian pick out fishing tackle for the day?
\newline
_____ ways
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Erik is making a care package for a friend living abroad. There are
2
2
2
snacks and
8
8
8
blankets to choose from. How many different care packages can Erik make using exactly one of each item?
\newline
_____ care packages
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Sidney is building a first-aid kit. There are
2
2
2
kinds of bandages and
2
2
2
disinfectants to choose from. How many different first-aid kits can Sidney make using exactly one of each item?
\newline
_____ first-aid kits
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Valeria and her family are at the pet store getting supplies for a new cat, which they will be adopting from the animal shelter later today. The pet store has
7
7
7
kinds of food dishes and
2
2
2
kinds of cat food. If they get one of each item, how many different combinations of supplies can Valeria's family get?
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_
_
_
_
_
_
\_\_\_\_\_\_\_
_______
combinations
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Isabelle thought dressing up as a ghost for Halloween would be simple, but there were still many decisions to make. She has
4
4
4
different colored sheets and can cut
3
3
3
different eyehole shapes. How many different ways can Isabelle dress up as a ghost?
\newline
_
_
_
_
\_\_\_\_
____
ways
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Cody is building a set of reference materials for his office. He can choose from
5
5
5
dictionaries and
2
2
2
thesauruses. Assuming he wants only one of each type of book, how many different sets of reference materials can Cody put together?
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_
_
_
_
_
_
_
_
_
\_\_\_\_\_\_\_\_\_
_________
sets
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Katy's little sister wants help getting her bicycle ready for a parade. She can choose among
4
4
4
colors of handlebar streamers and
3
3
3
different bicycle bells. How many different ways can Katy's little sister decorate her bicycle?
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_
_
_
_
_
_
_
\_\_\_\_\_\_\_
_______
ways
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Seth is going in for a checkup at a large medical clinic. Seth will meet with one of the
5
5
5
physician assistants and be examined by one of the
4
4
4
doctors. How many different ways might Seth have a checkup?
\newline
_____ ways
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Annie's little sister wants help getting her bicycle ready for a parade. She can choose among
2
2
2
colors of handlebar streamers and
4
4
4
different bicycle bells. How many different ways can Annie's little sister decorate her bicycle?
\newline
_____ ways
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Jada just got a cell phone and is excited to customize it. There are
2
2
2
different ringtones and
8
8
8
different wallpapers available on the phone. How many different ways can Jada customize the cell phone?
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_
_
_
_
\_\_\_\_
____
ways
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Elena is making a piece of toast. There are
5
5
5
kinds of bread in the house, and the toaster has
4
4
4
settings, from very light to very dark. How many different ways can Elena make toast?
\newline
_
_
_
_
\_\_\_\_
____
ways
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Jayce and his family are at the pet store getting supplies for a new cat, which they will be adopting from the animal shelter later today. The pet store has
3
3
3
kinds of food dishes and
6
6
6
kinds of cat food. If they get one of each item, how many different combinations of supplies can Jayce's family get?
\newline
_
_
_
_
\_\_\_\_
____
combinations
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Sanjay is planning the menu for a dinner party. There are
3
3
3
appetizers and
4
4
4
main dishes to choose from. How many different meals can Sanjay serve?
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_
_
_
_
\_\_\_\_
____
meals
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Jeanette is planning the menu for a dinner party. There are
6
6
6
appetizers and
3
3
3
main dishes to choose from. How many different meals can Jeanette serve?
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_
_
_
_
\_\_\_\_
____
meals
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Seth is planning the menu for a dinner party. There are
10
10
10
appetizers and
2
2
2
main dishes to choose from. How many different meals can Seth serve?
\newline
_
_
_
_
\_\_\_\_
____
meals
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Rachel is training to be a teacher and must fulfill the student teaching requirement. Rachel must be a student teacher at one of
3
3
3
local middle schools and one of
5
5
5
local high schools. Assuming the order doesn't matter, in how many different ways can Rachel complete the student teaching requirement?
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_
_
_
_
\_\_\_\_
____
ways
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Scott's family is going to get a hamster, but first they need to buy the supplies. The pet store has
6
6
6
cages and
2
2
2
kinds of wood shavings to cover the floor of the cage. How many different ways can Scott's family set up a home for their hamster?
\newline
_
_
_
_
\_\_\_\_
____
ways
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Colleen is designing a bathroom. There are
6
6
6
different bathtubs and
2
2
2
different sinks to choose from. How many different bathrooms can Colleen design?
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_
_
_
_
\_\_\_\_
____
bathrooms
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Jordan is making an ice cream sandwich. There are
2
2
2
types of sandwich cookies and
2
2
2
types of ice cream to choose from. How many different ice cream sandwiches can Jordan make using exactly one of each item?
\newline
_
_
_
_
\_\_\_\_
____
ice cream sandwiches
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Joel is buying a new pair of skates. There are
5
5
5
styles of skate to choose from and
3
3
3
different color schemes. How many different skates can Joel buy?
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_
_
_
\_\_\_\_
____
skates
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