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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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