OpenStudy (anonymous):

Consider the grid NxN of pairs of integers. Suppose that one starts at the origin A=(0,0) and moves to the point B=(-2,10) in 10 steps. Each step is composed of either an "Up" movement ((i,j) --> (i+1,j+1)) or an "Down" movement ((i,j) --> (i-1,j+1)). The total number of distinct paths that are composed of "Up" and "Down" movements is....

6 years ago
OpenStudy (anonymous):

thats 6 down moves and 4 up moves, making it 10!/(6! *4!), correct?

6 years ago
OpenStudy (anonymous):

answer is 210?

6 years ago