Combinations in Mathematics Quiz
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Questions and Answers

What is a k-combination of a set S?

  • A set of k elements of S in a specific order
  • A subset of k distinct elements of S (correct)
  • A permutation of k distinct elements of S
  • A combination of k non-distinct elements of S

    • How many combinations of two can be drawn from a set of three distinct fruits?

  • 1
  • 2
  • 6
  • 3 (correct)

    • What is the number of k-combinations from a set with n elements denoted by $C(n,k)$?

  • $C(n,k) = \frac{n!}{k!(n-k)!}$ (correct)
  • $C(n,k) = n^k$
  • $C(n,k) = n + k$
  • $C(n,k) = n - k$

    • When is the number of k-combinations zero?

    <p>When $k &gt; n$</p> Signup and view all the answers

    What makes two combinations identical?

    <p>If each combination has the same members</p> Signup and view all the answers

    What is the formula for the number of k-combinations from a set with n elements?

    <p>$C(n,k) = \frac{n!}{k!(n-k)!}$</p> Signup and view all the answers

    When is the number of k-combinations zero?

    <p>When $k &gt; n$</p> Signup and view all the answers

    What is a k-combination of a set S?

    <p>A subset of k distinct elements of S</p> Signup and view all the answers

    How many combinations of two can be drawn from a set of three distinct fruits?

    <p>Three combinations</p> Signup and view all the answers

    What makes two combinations identical?

    <p>If each combination has the same members</p> Signup and view all the answers

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