A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?
The number of ways in which the commuter can make a round trip from Ajax to Barrie.
The Fundamental counting principle states that “For any number of events occurs in number of ways, then the whole event can occur in ways.”
The number of ways in which the commuter can select two different roads to complete one round-trip is given by,
Number of roads connecting Ajax and Barrie are
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