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How many paths are there from C to B, if every step must be up or to the right?
 

 Jan 7, 2021
 #1
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You have to go right 8 times and up 2 times. We can write this as RRRRRRRRUU. There are 10!/(8!*2!) ways to arrange it so the answer is 45

:D

 Jan 7, 2021
 #2
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You must go up 2 and right 8, so the answer is \(\binom{10}{2}=\boxed{45}\)

 Jan 7, 2021

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