Need help in solving 2 questions of Discrete Mathematics

AI Thread Summary
The discussion revolves around two discrete mathematics questions involving geometric configurations. The first question asks for the application of Euler’s Formula to determine the number of regions formed by n straight dams on a circular island, where no three dams intersect at the same point. The second question inquires about how many regions two quadrilaterals can divide the plane into, considering both convex and non-convex cases. Participants are reminded to provide their solution attempts before seeking assistance, as per forum rules. Urgent help is requested to solve these problems effectively.
native3
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Q 1. On a circular island we build n straight dams going from
Sea to sea, so the ever two intersect but no three go through
the same point. Use Euler’s Formula to determine how many

Q 2. Into how many parts do two quadrilaterals divide the plane, If
(a) They are convex
(b) They are not necessarily convex

Need help very urgently in solving the above two questions...

Thanks in advance

Please help as soon as possible...
 
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native3 said:
Q 1. On a circular island we build n straight dams going from
Sea to sea, so the ever two intersect but no three go through
the same point. Use Euler’s Formula to determine how many

Q 2. Into how many parts do two quadrilaterals divide the plane, If
(a) They are convex
(b) They are not necessarily convex

Need help very urgently in solving the above two questions...

Thanks in advance

Please help as soon as possible...

The Forum rules require you to show your solution attempts first and to ask for help on specific points where you are stuck.

RGV
 

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