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11.2. Definition of k-Permutation

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Try these first

  1. 1.

    Calculate P(4, 2).

    Hint

    Remember to use the factorial formula.

  2. 2.

    What is the value of P(5, 0)?

    Hint

    Think about the arranged selection of zero elements.

  3. 3.

    How is P(n, k) defined?

    Hint

    Think about arrangements and selections.

  4. 4.

    True or False: The number of permutations increases when repetitions are allowed.

    • True
    • False
    Hint

    Consider how choices change when you can use the same item again.

  5. 5.

    You have 10 different trophies and want to award 3 of them in 3 distinct positions. How many arrangements are possible?

    Hint

    Remember to account for the order of the awards given.

  6. 6.

    A pizza shop has 5 different toppings. If a customer can choose 2 toppings and repeats are allowed, how many different two-topping combinations can they order?

    Hint

    Consider the choices available at each selection.

Exercises

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

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Quiz

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

2 more questions available

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Challenge Problems

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting