Each block on the grid shown in the Figure is 1 unit by 1 unit. Suppose we wish to walk from \(a\) to \(b\) via a 7 unit path, but we have to stay on the grid -- no cutting across blocks. How many different paths can we take?
Ok- so the information given is that we have to take a 7 block path, no cutting across blocks.
we would have to take 4 steps to the right and 3 up in any order
therefore
\( (7/3) {7X6X5 \over 3X2X1}= 35\)
Ok- so the information given is that we have to take a 7 block path, no cutting across blocks.
we would have to take 4 steps to the right and 3 up in any order
therefore
\( (7/3) {7X6X5 \over 3X2X1}= 35\)