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

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