Math Forum - Problems Library - Pre-Algebra, Discrete Math and Counting Principles: Combinations

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Combinations
The problems in this section explore combinations defined as a way to select one or more elements from a set without regard to the order of selection.

Related Resources
Interactive resources from our Math Tools project:
   Math 7: Counting Principles: Combinations
The closest match in our Ask Dr. Math archives:
   Middle School Archive
NCTM Standards:
   Data Analysis & Probability Standard for Grades 6-8

Access to these problems requires a Membership.

Basic Breakfast Buffet - Suzanne Alejandre
Pre-Algebra, difficulty level 2. How many days could Linnea, Joel, Karl, and Jakob stay at the hotel before one of them would have to repeat one of the breakfasts? ... more>>

Change Woes - suggested by a Western Oregon University mentor
Pre-Algebra, difficulty level 3. What coins did Lacey have before her money was mixed up with her brother's? ... more>>

Coding Conundrums - Mary DeYoung & class
Pre-Algebra, difficulty level 2. Explore encoding and decoding in this cipher puzzle. ... more>>

Colors of the Olympic Rings - Suzanne Alejandre
Pre-Algebra, difficulty level 2. If we categorize all the flags of the world by the combination of the Olympic ring colors that appear in them, how many categories would we have? ... more>>

Eminen - Annie Fetter
Geometry, difficulty level 3. Figure out what size squares will tile a rectangle. ... more>>

Fall Festival Frolic - Judy Ann Brown
Pre-Algebra, difficulty level 3. How many different types of candy are needed to make at least 50 different treat bags? ... more>>

Flipping Over Pennies - Judy Ann Brown
Pre-Algebra, difficulty level 3. How many equally likely outcomes are there when flipping 10 coins? ... more>>

Mr. Carmel's Party Plan - Judy Ann Brown
Pre-Algebra, difficulty level 2. Help Mr. Carmel's class earn an ice cream party by counting the number of possible sundaes. ... more>>

Part of a Rectangle - Annie Fetter
Geometry, difficulty level 3. Given the area of part of a rectangle, find the area of the whole thing. ... more>>

Pegging Possibilities - Michael Urbut
Pre-Algebra, difficulty level 2. Explore the number of possible arrangements of pegs in this logic game. ... more>>

Rampaging Reindeer - Judy Ann Brown
Pre-Algebra, difficulty level 3. How many different ways can Santa's reindeer be arranged? ... more>>

Totolospi - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Calculate the probability of advancing on a toss when playing the game Totolospi. ... more>>

Wraparound Universe - Jeff Weeks
Pre-Algebra, difficulty level 4. Explore the game of tic-tac-toe using a cylindrical tic-tac-toe board. ... more>>

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