# Walk down same street only once

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• #89164
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How do we solve these kind of problems please?
Jason and his friends are delivering leaflets around the local housing estates.
Jason wants to choose a housing estate where he won’t have to walk down the same street more
than once (he can pass over the same corners more than once). On which of these five street
plans is this possible?

#89227
pamela-rolles
Moderator

Hello,

These questions need you to first identify the type of corners/vertices as either ODD (an odd number of roads leading to that corner) or EVEN (an even number of roads leading to them).Do this for all of the road plans bearing in mind the following …

The correct route, that is the one where the same corners can be passed over but not the same road, is the one where there are 2 or less ODD vertices (corners), any more than it is not possible, so all even vertices is also possible.

Once you know how to do these, they provide an easy mark.

Hope that helps.

#91205