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Grade 12 Permutations & Combinations Worksheet with Answers
Grade 12 (US) · Year 13 (UK) · Class 12 (India) · Math
Unit 4: Probability & CountingCountingCCSS S-CP.B.9
Counting ordered and unordered selections with nPr and nCr. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.
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Practice Sheetaethelsystems.comPermutations & Combinations
Grade 12 · Math
Name
Class
Date
Learning goal: Counting · CCSS S-CP.B.9
Directions: Solve each problem. Show your work, then write your answer in the box.
Evaluate: 11P3
Answer: 990
RememberNormal distribution and counting
- 1
Evaluate: 8C2
Answer - 2
Evaluate: 6P2
Answer - 3
How many different 4-person committees can be chosen from 7 people?
Answer - 4
How many different 3-person committees can be chosen from 8 people?
Answer - 5
Evaluate: 12P4
Answer - 6
In how many ways can a president, vice-president and secretary be chosen from 6 club members?
Show your workAnswer - 7
In how many ways can a president, vice-president be chosen from 8 club members?
Show your workAnswer - 8
How many different 2-person committees can be chosen from 10 people?
Answer - 9
Evaluate: 6C3
Answer - 10
Evaluate: 7C3
Answer - 11
Evaluate: 9P2
Answer - 12
In how many ways can a president, vice-president be chosen from 5 club members?
Show your workAnswer
★ Challenge corner for fast finishers
A square is drawn inside a circle of radius 10 so its corners touch the circle. What is the area of the square?
How did I do?
Teacher's comments
Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/12/permutations_combinations
Answer key — Permutations & Combinations (Grade 12)
- 1.28
- 2.30
- 3.35
- 4.56
- 5.11880
- 6.120
- 7.56
- 8.45
- 9.20
- 10.35
- 11.72
- 12.20
- ★200
Answer key (click to show)
- 1.28
- 2.30
- 3.35
- 4.56
- 5.11880
- 6.120
- 7.56
- 8.45
- 9.20
- 10.35
- 11.72
- 12.20
- ★200 (challenge corner)
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