Pavel has to visit his aunt, who lives exactly eight blocks north and six blocks east of his current location. If Pavel travels only along streets and does not travel diagonally, the shortest possible route connecting the two points is exactly 14 blocks. How many different 14-block routes may Pavel take to travel the shortest possible distance to his aunt’s house?
Select:  A) 14  B) (14!)/(8!6!)  C) (22!)/(14!8!)  D) 8!6!  E) 14!8!6!
for simplification, you can draw a box/rectangle with eight vertical and 6 horizontal lines...   the Q asks u how can u travel from one vertex to opposite vertex along these lines..   And the shortest route will consist of 8 vertical and 6 horizontal moves..   so total ways are 14! out of which 8 are one kind and 6 of the other...   ways= 14!/(8!6!)   ANSWER:(14!)/(8!6!)
<result>B</result>
Pavel has to visit his aunt, who lives exactly eight blocks north and six blocks east of his current location. If Pavel travels only along streets and does not travel diagonally, the shortest possible route connecting the two points is exactly 14 blocks. How many different 14-block routes may Pavel take to travel the shortest possible distance to his aunt’s house?