Let u and r be the distance to move in the up and right directions. u=y2-y1 and r=x2-x1. (u+r)Cr
On Sat, Jun 23, 2012 at 11:40 AM, Guruprasad Sridharan < sridharan.mi...@gmail.com> wrote: > Let u and r be the distance to move in the up and right directions. > u=y2-y1 and r=x2-x1. > > We have to move a total of u+r units. So the answer would be (u+r)!/u!r! > since we are counting only the distinct paths. > Each path from (x1,y1) to (x2,y2) may be expressed as a sequence of u+r > steps consisting of U or R. > If seq[i] has U then it means we moved up at the i th step. Similarly R is > for right. The number of distinct paths would be the number of distinct > arrangements of the sequence. > > On Sat, Jun 23, 2012 at 11:05 AM, Gobind Kumar Hembram < > gobind....@gmail.com> wrote: > >> Given two positions in a 2-D matrix, say (x1, y1) and (x2, y2) where >> x2>=x1 and y2>=y1. Find the total number of distinct paths between >> (x1, y1) and (x2, y2). You can only move in right direction i.e. >> positive x direction (+1, 0) or in up direction i.e. positive y >> direction (0, +1) from any given position. >> >> Example: If the given coordinates are (3,3) and (5,5), the number of >> distinct paths are 6 : one going through 3,5 ; one going through 5,3 >> and four going through 4,4. >> >> -- >> You received this message because you are subscribed to the Google Groups >> "Algorithm Geeks" group. >> To post to this group, send email to algogeeks@googlegroups.com. >> To unsubscribe from this group, send email to >> algogeeks+unsubscr...@googlegroups.com. >> For more options, visit this group at >> http://groups.google.com/group/algogeeks?hl=en. >> >> > -- > You received this message because you are subscribed to the Google Groups > "Algorithm Geeks" group. > To post to this group, send email to algogeeks@googlegroups.com. > To unsubscribe from this group, send email to > algogeeks+unsubscr...@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/algogeeks?hl=en. > -- Regards Kumar Vishal _________________________________________ *http://wethecommonpeople.wordpress.com/ * *h**ttp://kumartechnicalarticles.wordpress.com/<http://kumartechnicalarticles.wordpress.com/> * _________________________________________ -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algogeeks@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
