Combinations - Worksheet 5 - 11th Grade
MediumCalculate combinations and apply to probability (Medium)
22 problems · 20-25 minutes · Skills: probability, combinations, counting
About This Worksheet
This medium-level worksheet contains 22 problems designed for 11th Grade students practicing combinations. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Combinations are indispensable in probability and statistics — they appear in the binomial distribution, hypergeometric distribution, and in calculating the odds for games of chance. The ability to recognize whether a problem requires permutations or combinations is one of the most important judgment skills in discrete mathematics.
- Distinguish between permutations (order matters) and combinations (order does not matter)
- Calculate combinations and evaluate them efficiently
- Apply combinations to calculate probabilities for equally likely events
- Solve problems involving choosing a committee or subset from a larger group
- Apply combinations to count paths through a grid from corner to corner
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this combinations - worksheet 5 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this probability & statistics worksheet cover?
This worksheet focuses on probability, combinations, counting. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 22 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.