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2 January, 19:47

There are three different routes connecting city A to city B. How many ways can a round trip be made from A to B and back? How many ways if it is desired to take a different route on the way back?

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  1. 2 January, 19:59
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    a) 9 ways.

    b) 6 ways.

    Step-by-step explanation:

    We know that there are three different routes connecting city A to city B.

    We calclulate how many ways can a round trip be made from A to B and back. We conclude that the exists 3·3 = 9 ways.

    We calclulate how many ways can a trip be made from A to B if it is desired to take a different route on the way back. We conclude that the exists

    3·2 = 6 ways.
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