Gr 12 Mathematics: Ch 9.4 Factorial Notation
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Gr 12 Mathematics: Ch 9.4 Factorial Notation

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Questions and Answers

What is the value of 0! in factorial notation?

  • Infinity
  • undefined
  • 1 (correct)
  • 0
  • What is the total number of possible arrangements of n different objects?

  • n! (correct)
  • 2 × n
  • (n - 1)!
  • n × (n - 1) × (n - 2) × ... × 3 × 2 × 1
  • What is the product of all positive integers up to n represented by?

  • n × n
  • n × (n - 1) × (n - 2) × ... × 3 × 2
  • n! (correct)
  • (n - 1)!
  • What is true about the factorial of any non-negative integer n?

    <p>It is the product of all positive integers less than or equal to n</p> Signup and view all the answers

    What is the value of n! / (n-1)! for any positive integer n?

    <p>n</p> Signup and view all the answers

    What is a use of the factorial of n?

    <p>To simplify expressions involving permutations and combinations</p> Signup and view all the answers

    What does the notation n! (read as 'n factorial') represent?

    <p>The product of all positive integers up to n</p> Signup and view all the answers

    In which type of problem is factorial notation commonly used?

    <p>Counting problems</p> Signup and view all the answers

    What is a property of the factorial of a positive integer n?

    <p>It can be used to simplify expressions involving permutations and combinations</p> Signup and view all the answers

    How can factorial notation be used in permutation and combination problems?

    <p>To simplify expressions involving permutations and combinations</p> Signup and view all the answers

    What is a characteristic of the way factorial notation can be expanded and simplified?

    <p>It depends on the context of the problem</p> Signup and view all the answers

    What is true about the relationship between n! and (n-1)!?

    <p>n! can be divided by (n-1)!</p> Signup and view all the answers

    Which of the following is a consequence of the outcome of the first event reducing the number of possible outcomes for the second event?

    <p>Factorial notation is used to represent the product of all positive integers up to a certain number</p> Signup and view all the answers

    What is a benefit of using factorial notation in permutation and combination problems?

    <p>It can be used to simplify expressions involving permutations and combinations</p> Signup and view all the answers

    What is the relationship between $n!$ and $(n-1)!$?

    <p>$n! = (n-1)! imes n$</p> Signup and view all the answers

    What is the primary use of factorial notation in counting problems?

    <p>To represent the product of all positive integers up to a certain number</p> Signup and view all the answers

    What is a common situation where factorial notation is used?

    <p>When the outcome of the first event reduces the number of possible outcomes for the second event</p> Signup and view all the answers

    What is true about expanding and simplifying factorial notation?

    <p>It can be expanded and simplified in various ways depending on the context</p> Signup and view all the answers

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