Free Printable WorksheetMathPre-CalculusMath CurriculumPre-CAL.166

Pre CAL.166 Counting Principles, Permutations, and Combinations Worksheet

Download our free printable Pre-Calculus Math worksheet on Pre CAL.166 Counting Principles, Permutations, and Combinations. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.166 Counting Principles, Permutations, and Combinations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.166 Counting Principles, Permutations, and Combinations - Counting Principles, Permutations, and Combinations

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Pre-Calculus

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related Pre CAL.166 Counting Principles, Permutations, and Combinations skill assessments:

Problem 1Difficulty: Mastery
Choose a lab set of 4 from 14 experiments, then choose one member of that group as the first trial. How many outcomes are possible?
Solution & Explanation:First choose the unordered group: C(14,4) = 1001. Then choose 1 of the 4 group members for the special role, so 1001×4 = 4004.
Problem 2Difficulty: Mastery
Choose a playlist set of 3 from 13 songs, then choose one member of that group as the first song. How many outcomes are possible?
Solution & Explanation:First choose the unordered group: C(13,3) = 286. Then choose 1 of the 3 group members for the special role, so 286×3 = 858.
Problem 3Difficulty: Mastery
Choose a planning team of 4 from 12 members, then choose one member of that group as the facilitator. How many outcomes are possible?
Solution & Explanation:First choose the unordered group: C(12,4) = 495. Then choose 1 of the 4 group members for the special role, so 495×4 = 1980.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this Pre CAL.166 Counting Principles, Permutations, and Combinations worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this Pre CAL.166 Counting Principles, Permutations, and Combinations worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice Pre CAL.166 Counting Principles, Permutations, and Combinations online with instant feedback?

Yes! In addition to this printable worksheet, students can practice Pre CAL.166 Counting Principles, Permutations, and Combinations interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Pre-Calculus Math students. It aligns with educational standard Pre-CAL.166 (Counting Principles, Permutations, and Combinations).

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