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The problems in this section explore finding the number of ways to arrange or group things known as listing all of the permutations. Often factorials are used with this concept.

Related Resources
Interactive resources from our Math Tools project:
   Math 7: Counting Principles: Permutations
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.

Back Yard Trees - Judy Ann Brown
Pre-Algebra, difficulty level 4. How many different quadrilaterals can be formed by joining any four of the nine trees? ... more>>

Even Number Puzzle - Judy Ann Brown
Pre-Algebra, difficulty level 3. How many even four-digit whole numbers exist such that the thousands digit is odd, and all four digits are different? ... more>>

Kwae - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Determine the number of kwae that can be made. ... more>>

Locker Combinations - Judy Ann Brown
Pre-Algebra, difficulty level 4. In this counting problem you will need to determine the total number of possible locker combinations. ... more>>

Seating Arrangements - Judy Ann Brown
Pre-Algebra, difficulty level 3. Four new students arrive in Mrs. Brown's homeroom. After a few minutes she turns to them and says, "There are 1680 ways that you can sit in the empty seats." How many empty seats are there in the room? ... more>>

Trick-or-Treat Route - Judy Ann Brown
Pre-Algebra, difficulty level 4. Which of the many possible routes should the Anderson children take on their Halloween trek? ... more>>

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