Total Ordering Relation Quiz
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Questions and Answers

Which of the following relations on {1,2,5} is a total ordering relation?

  • Less than
  • Empty relation { }
  • Less than or equal (correct)
  • Not equal

What property must a total ordering relation satisfy?

  • Asymmetry
  • Reflexivity (correct)
  • Transitivity
  • Symmetry

Which of the following is a common misunderstanding about total ordering relations?

  • They cannot contain the 'not equal' relation
  • They are always empty
  • They must be symmetric
  • They do not need to be transitive (correct)

Which of the following functions is one-to-one?

<p>$f(x)=x \mod 10$ from the set {0,1,2,3,4,5,6,7,8,9,10} to the set {0,1,2,3,4,5,6,7,8,9} (C)</p> Signup and view all the answers

Which function represents a total ordering relation?

<p>$f(x)=x \mod 10$ from the set {0} to the set {0} (A)</p> Signup and view all the answers

Which of the following functions is not a total ordering relation?

<p>$f(x)=x \mod 2$ from the set {4} to the set {0} (B)</p> Signup and view all the answers

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