SOLUTION: Hello! This question has me stumped. In a certain city there are 4 streets going North and South and 4 streets going east and west. how many street paths start at the SW corner o

Algebra ->  Permutations -> SOLUTION: Hello! This question has me stumped. In a certain city there are 4 streets going North and South and 4 streets going east and west. how many street paths start at the SW corner o      Log On


   



Question 511454: Hello! This question has me stumped.
In a certain city there are 4 streets going North and South and 4 streets going east and west. how many street paths start at the SW corner of the city, end at the NE corner of the city and have the shortest possible length.
There are ______ such paths?

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

4 streets going South to North and 4 streets going west to east.

Number of such paths = 8!/[4!*4!]
= 70

If any doubt, you are welcome to ask.