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Permutations and combinations

11th grade (Year 12 in England) · 16 questions · Common Core: HSS.CP.B.9

Name

Date

Score/ 16

  1. Question 1

    In how many ways can a team of 3 be chosen from 5 players (order does not matter)?

    Answer

  2. Question 2

    Zoe has 7 different books to put on a shelf. In how many different orders can they be arranged?

    Answer

  3. Question 3

    In how many ways can 1st, 2nd, 3rd place be awarded among 7 runners?

    Answer

  4. Question 4

    Ethan has 6 different books to put on a shelf. In how many different orders can they be arranged?

    Answer

  5. Question 5

    In how many ways can 1st, 2nd place be awarded among 7 runners?

    Answer

  6. Question 6

    Felix has 6 different books to put on a shelf. In how many different orders can they be arranged?

    Answer

  7. Question 7

    In how many ways can a team of 3 be chosen from 6 players (order does not matter)?

    Answer

  8. Question 8

    Sam has 5 different books to put on a shelf. In how many different orders can they be arranged?

    Answer

  9. Question 9

    In how many ways can a team of 3 be chosen from 9 players (order does not matter)?

    Answer

  10. Question 10

    Zara has 4 different books to put on a shelf. In how many different orders can they be arranged?

    Answer

  11. Question 11

    In how many ways can 1st, 2nd place be awarded among 8 runners?

    Answer

  12. Question 12

    Omar has 7 different books to put on a shelf. In how many different orders can they be arranged?

    Answer

  13. Question 13

    In how many ways can 1st, 2nd, 3rd and 4th place be awarded among 6 runners?

    Answer

  14. Question 14

    Priya has 6 different books to put on a shelf. In how many different orders can they be arranged?

    Answer

  15. Question 15

    In how many ways can 1st, 2nd, 3rd and 4th place be awarded among 10 runners?

    Answer

  16. Question 16

    Priya has 5 different books to put on a shelf. In how many different orders can they be arranged?

    Answer

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Answer key: Permutations and combinations

  1. 1. 10

  2. 2. 5040

  3. 3. 210

  4. 4. 720

  5. 5. 42

  6. 6. 720

  7. 7. 20

  8. 8. 120

  9. 9. 84

  10. 10. 24

  11. 11. 56

  12. 12. 5040

  13. 13. 360

  14. 14. 720

  15. 15. 5040

  16. 16. 120