Question
Use Exercise 37 to prove Theorem $4 .[\text { Hint: Count the }$ number of paths with $n$ steps of the type described in Exercise $37 .$ Every such path must end at one of the points $(n-k, k)$ for $k=0,1,2, \ldots, n . ]$
Step 1
The number of steps up is $r+1$ and the number of steps to the right is $n-r$. Show more…
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