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# ℙ𝕃𝔼𝔸𝕊𝔼 ℍ𝔼𝕃ℙ!!!!!

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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 $$(5,7)$$?

I tried 757, but it wasn't right.

This is what I tried:

$$\frac{(5+7)!}{5!*7!}$$= 792 paths to (5,7).

$$\frac{(4+3)!}{4!*3!}$$= 35 paths to subtract.

792-35=757. But I guess that wasn't right.

thank you!!! :D

Apr 20, 2020