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Mack the bug starts at (0,0) at noon and each minute moves one unit right or one unit up. He is trying to get to the point (5,7). However, at (2,3) there is a spider that will eat him if he goes through that point. In how many ways can Mack reach (5,7)?

 May 7, 2021
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By complementary counting, there are 408 possible ways.

 May 7, 2021

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