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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

Best Answer 

 #1
avatar+76 
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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
avatar+76 
+2
Best Answer

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

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