Answer:
Therefore there are 10 ways to walk in xy space from (0,0) to (2,3).
Step-by-step explanation:
To move from (0,0) to (2,3) one has to walk 2 step along x-axis and 3 steps along y-axis.
One can chose 2 steps along x-axis and then 3 steps along y axis
Or,
2 steps along y-axis ,1 step along x-axis , 1 step along y-axis,1 step along x-axis
And so on.
This is a permutation of(2+3) things where 2 and 3 are two types of kinds.
The required permutation is [tex]\frac{(2+3)!}{2!3!}=\frac{5!}{2!3!} =10[/tex]
Therefore there are 10 ways to walk in xy space from (0,0) to (2,3).
