You go to school in a building located six blocks east and seven blocks north of your home. So, in walking to school each day you go thirteen blocks. All streets in a rectangular pattern are available to you for walking. In how many different paths can you go from home to school, walking only thirteen blocks?
I want to say that the answer can be found knowing that there are $6!$ ways east and $7!$ ways north. Then, the answer would be $6!+ 7!$ .
I feel like this is way too simple of a solution to be correct.