My Math Forum Number of possible outcomes when driving

 Algebra Pre-Algebra and Basic Algebra Math Forum

 October 26th, 2009, 09:25 AM #1 Newbie   Joined: Oct 2009 Posts: 3 Thanks: 0 Number of possible outcomes when driving I'm going to try and explain this question as well as I can - 1. You live in a city. 2. The city is 10 (city) blocks wide and 10 blocks high (like a perfect grid) 3. Your house is on the left corner of the bottom-most left block, or the most south-western house in the city. 4. Your friend's house in on the right corner of the top right block, of the most north-eastern house in the city. How many possible routes are there to get from your house to your friend's house? I would have no idea where to start in figuring this out?
 October 26th, 2009, 10:31 AM #2 Senior Member   Joined: Oct 2009 Posts: 105 Thanks: 0 Re: Number of possible outcomes when driving It depends, are we allowed to cross over a point in one of our earlier paths? Also, are we going from block to block, or are we just staying on the outer lines going from corner to corner?
 October 26th, 2009, 01:06 PM #3 Global Moderator   Joined: Dec 2006 Posts: 19,968 Thanks: 1850 If the journey is limited to the length of 10 blocks (going east) and ten blocks (going north), there are C(20,10) routes.
 October 27th, 2009, 07:51 AM #4 Newbie   Joined: Oct 2009 Posts: 3 Thanks: 0 Re: Number of possible outcomes when driving Sorry Six, I forgot to mention, only north and west. Skipjack, thanks so much for the answer. I suppose if you were free to go back south or east the options become infinite, huh?
 October 27th, 2009, 07:53 AM #5 Newbie   Joined: Oct 2009 Posts: 3 Thanks: 0 Re: Number of possible outcomes when driving I realize I don't know what this means: C(20,10)
 October 27th, 2009, 08:19 AM #6 Global Moderator   Joined: Dec 2006 Posts: 19,968 Thanks: 1850 It's one of various notations used for a binomial coefficient. The route is a total of 20 blocks, of which any 10 are north.
October 27th, 2009, 02:08 PM   #7
Senior Member

Joined: Oct 2009

Posts: 105
Thanks: 0

Re: Number of possible outcomes when driving

Quote:
 Originally Posted by groundwar I suppose if you were free to go back south or east the options become infinite, huh?
Not necessarily...

As long as I am not allowed to cross a path I went on earlier, it is still finite.

 Tags driving, number, outcomes

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post WWRtelescoping Algebra 1 March 18th, 2014 01:59 PM rnck Advanced Statistics 6 July 1st, 2013 07:21 AM dungtran Computer Science 0 April 13th, 2012 08:07 PM KranImpire Advanced Statistics 0 April 1st, 2010 05:19 PM dungtran Algebra 0 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top