Permutations and Combinations
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Questions and Answers

Which of the following statements about permutations and combinations is true?

  • Permutations involve selecting objects without replacement, while combinations involve selecting objects with replacement.
  • Permutations involve arranging objects in a specific order, while combinations do not consider the order. (correct)
  • Permutations and combinations are the same thing.
  • Permutations and combinations both involve selecting objects without replacement.

    • What is the formula for calculating the number of permutations of n objects taken r at a time?

  • nPr = n! * (n - r)!
  • nPr = n! / (n - r)! (correct)
  • nPr = n! * r!
  • nPr = n! / r!

    • In how many ways can a committee of 3 people be formed from a group of 10 people?

  • 90
  • 30
  • 210
  • 120 (correct)

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