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# help

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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?

Dec 8, 2018

#1
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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

$$(7/3) {7X6X5 \over 3X2X1}= 35$$

.
Dec 8, 2018

#1
+125
+2

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

$$(7/3) {7X6X5 \over 3X2X1}= 35$$

HoldMyBeer Dec 8, 2018