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Marvin the fly starts at (0,0). Each step, Marvin moves one unit right or one unit up. He is trying to get to the point (5,7). However, at (4,3) there is a frog that will eat him if he goes through that point. In how many ways can Marvin reach (5,7)?

 

 

(All other answers were wrong)

 Jun 23, 2021
 #1
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The total number of ways to get to (5, 7) is 12!/5!/7!. 

The total number of ways to get to (5, 7) while passing through (4, 3) is 7!/3!/3! * 5!/1/!/4!

Any idea how to solve this?

 

=^._.^=

 Jun 23, 2021

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