Going to the Castle - Part 4
I was on vacation in England, and wanted to visit the Tower of London. The roads were laid out on a grid map, and and the castle was 4 blocks north and 5 blocks east. As the royal baby was going to be in town, a large area was cordoned off and there was to be no traffic though.
If I were to travel only north and east, how many routes did I have to get to the castle?
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1 solution
Path 1: Go to A then go to Tower -----> 1 way
Path 2: Go to B then go to tower. The tower is at (4N,1E) from B. The total number of ways to reach the tower from B is arrangement of 4N's & 1E's which can be done in 5 C 4 = 5 ways
So in total 6 ways are possible