Bifalgorithm post · Brisk · Chapter 1

How many ordered pairs does the relation represented by this graph have?

How many ordered pairs does the relation represented by this graph have? (Brisk · Chapter 1) — "dorelation, how many ordered pairs would it have? 14. (If you s…

Ideas in this flowchart

  • Determining the number of ordered pairs in the relation
  • The relation has 14 ordered pairs.
  • The lines have no arrowheads, so the graph is undirected.
  • An undirected graph corresponds to a symmetric relation.
  • Each connection contributes both ordered pairs in reverse order.
  • For example, the connection between A and E gives both (A, E) and (E, A).
  • Counting only 7 would omit the reverse ordered pairs.
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How many ordered pairs does the relation represented by this graph have?

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Brisk

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"dorelation, how many ordered pairs would it have? 14. (If you said 7, remember that since there are no arrowheads on the lines, this is an undirected graph, which corresponds to a symmetric relation, and hence both ( A , E ) and ( E , A ) will be present.)"

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