Counting Principle And Permutation

11 Questions | Total Attempts: 661

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Permutation Quizzes & Trivia

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Questions and Answers
  • 1. 
    How many ways can 10 students win a race?
    • A. 

      2!

    • B. 

      5!

    • C. 

      10!

  • 2. 
    How many ways can I arrange 5 books?
    • A. 

      5 ways

    • B. 

      10 ways

    • C. 

      120 ways

  • 3. 
    I can choose a red, blue or green tshirt, with a skirt or pants, black, white, or green hijab, with or without a jacket. How many different choices do I have?
    • A. 

      3 x 2 x 3 x 2

    • B. 

      3 x 1 x 2 x 3

  • 4. 
    How many ways can we arrange 7 people sitting on 3 chairs?
  • 5. 
    How many ways can 10 students win a race if the first prize is gold, second is silver, and the third is bronze?
  • 6. 
    How many different license plates are possible if the first two places are numbers and the last two are letters, without repeating numbers or letters?
  • 7. 
    How many different license plates are possible if the first two places are numbers and the last two are letters, with repeating numbers or letters?
  • 8. 
    Evaluate P(5,3)
    • A. 

      20

    • B. 

      60

    • C. 

      5!

  • 9. 
    A briefcase lock has 3 rotating cylinders, each containing 10 digits. How many numerical codes are possible?
    • A. 

      10

    • B. 

      30

    • C. 

      1000

  • 10. 
    From 15 entries in an art contest, a camp counselor chooses first, second, and third place winners. How many choices can be made?
    • A. 

      2730

    • B. 

      15

    • C. 

      45

  • 11. 
    How many 6-character passwords can be formed if the first character is a digit and the remaining 5 characters are letters that can be repeated?
    • A. 

      10x26x25x24x23x22

    • B. 

      10x26x26x26x26x26

    • C. 

      10x26!

    • D. 

      260