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

What makes two combinations identical?

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

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

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

When is the number of k-combinations zero?

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

What makes two combinations identical?

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

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