SOLUTION: a woman lives in a part of a city that is perfectly rectangular grid of streets. she works in a building that is 5 blocks east and three blocks north of her home. how many differen

Question 666341: a woman lives in a part of a city that is perfectly rectangular grid of streets. she works in a building that is 5 blocks east and three blocks north of her home. how many different paths can she take to work by walking only eight blocks?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
First, realize that you must go to 5 blocks east and three blocks north at some point.
We have 8 total "steps" to choose from and we must partition our steps into 5 blocks east and three blocks north, so we get:
(8 choose 5)*(3 choose 3) = 56 different paths.

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