Number of Ways

The diagram below shows the one-way cycle paths in a park. Work out the total number of possible routes to go from A to C. From A to D. From A to E.





Comments

  1. Well for the first choice, if we exclude the long lines for now, there are 3 ways we can go to B. In B, there are 2 ways we can get to C. In C, still excluding long lines, there are 4 ways to get to D. Finally, there are 2 ways we can get to E.

    If we multiply all the numbers we get 3 x 2 x 4 x 2 = 48.

    Now if we add all the longer lines we have 48 + 1 + 2 + 6 = 57.
    Now this gives our answer: 57.

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