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diamond Library of Math Forum Problems

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Pre-algebra Geometry Trig/Calculus
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Pre-Algebra
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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.

Change Woes - suggested by a Western Oregon University mentor
teacher support active problem 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
teacher support active problem Pre-algebra, difficulty level 2. Explore encoding and decoding in this cipher puzzle. ... more>>

Colors of the Olympic Rings - Suzanne Alejandre
teacher support active problem 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>>

Fall Festival Frolic - Judy Ann Brown
teacher support active problem 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
teacher support active problem 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
teacher support active problem Pre-algebra, difficulty level 2. Help Mr. Carmel's class earn an ice cream party by counting the number of possible sundaes. ... more>>

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

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

Totolospi - Suzanne Alejandre
teacher support active problem Pre-algebra, difficulty level 2. Calculate the probability of advancing on a toss when playing the game Totolospi. ... more>>

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

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