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20 questions and an answer page, sized for A4.

Permutations and combinations

Year 10 · Statistics & Probability · 20 questions

Name
Date
  1. 1.
    5! = ?
  2. 2.
    Evaluate 6C2 (combinations of 2 from 6).
  3. 3.
    4! = ?
  4. 4.
    6! = ?
  5. 5.
    Evaluate 5P4 (permutations of 4 from 5).
  6. 6.
    Evaluate 6C4 (combinations of 4 from 6).
  7. 7.
    Evaluate 8C2 (combinations of 2 from 8).
  8. 8.
    A team of 3 is chosen from 5 students. How many different teams are possible?
  9. 9.
    A team of 3 is chosen from 7 students. How many different teams are possible?
  10. 10.
    Evaluate 6P2 (permutations of 2 from 6).
  11. 11.
    How many ways can 5 different books be arranged on a shelf?
  12. 12.
    Evaluate 4C3 (combinations of 3 from 4).
  13. 13.
    How many ways can 6 different books be arranged on a shelf?
  14. 14.
    A team of 2 is chosen from 5 students. How many different teams are possible?
  15. 15.
    A team of 2 is chosen from 6 students. How many different teams are possible?
  16. 16.
    A team of 3 is chosen from 8 students. How many different teams are possible?
  17. 17.
    Evaluate 8P2 (permutations of 2 from 8).
  18. 18.
    Evaluate 4C2 (combinations of 2 from 4).
  19. 19.
    Evaluate 5P3 (permutations of 3 from 5).
  20. 20.
    Evaluate 7C4 (combinations of 4 from 7).

Free maths worksheets and practice: rocketdigits.com/learn/permutations-and-combinations

Answers: Permutations and combinations

  1. 120
  2. 15
  3. 24
  4. 720
  5. 120
  6. 15
  7. 28
  8. 10
  9. 35
  10. 30
  11. 120
  12. 4
  13. 720
  14. 10
  15. 15
  16. 56
  17. 56
  18. 6
  19. 60
  20. 35

Free maths worksheets and practice: rocketdigits.com/learn/permutations-and-combinations

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