Question

Stephens school is four blocks west and seven blocks south of his home. Use two methods to determine the number of routes he could take to school, travelling west or south at all times

Answer 1

330 total routes.
This can be split with 11 total blocks that must be traveled every way. 4 ways west and 7 ways south)
going west we take 11!/(4!(7!)) =330 or  for going south possibilities 11!/(7!(4!))

Answer 2

Answer:  There are 2 routes to reach the school.

Explanation:

As there are two routes he could take to school, travelling west or south at all times

Case I:

First he goes westwards four blocks and then seven blocks southwards to reach the school.

Case II:

Secondly, he goes seven blocks southwards and then four blocks westwards to reach the school.