# Willy Avoids Fences

Willy lives at the origin and is trying to go to school at Maya Angelou Elementary, which is located at $$(6,\,4)$$. He needs to get to school by making successive movements one unit to the right or one unit up.

Unfortunately, the evil businessman Rockefeller Tycoon has put up fences between $$(1,\,1)$$ and $$(2,\,1)$$ and between $$(3,\,4)$$ and $$(4,\,4)$$. Willy can no longer move along those paths.

In how many ways can Willy get to school?

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