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Find the number of paths from A to B that pass through point C. (Each step can only go up or to the right.)

 May 7, 2021
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There would be 40 paths.

 

From B to C would be 4C1 or 4C3 which would give you 4. (whichever combination you choose will give you the same answer)

 

From A to C would be 5C2 or 5C3 which would give you 10.

 

Now multiply the outcomes:

 

4*10=40

 May 7, 2021

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