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if 6 lines are drawn in a plane , what is the maximum number of parts in which plane is divided by them ? If there are 'k' lines drawn in the plane then plane is divided into how many maximum parts ?

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  • $\begingroup$ What are your thoughts on this question so far? What is the answer for $k=2$? How about $k=3$? $\endgroup$ – G Tony Jacobs Mar 11 '14 at 6:29
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One line intersects the plane in 2 parts. Given n line already one additional line creates n+1 additional parts at most

=> $max_{sections}=(n+1)\cdot n/2 +1 $

For 6 lines this should be up to 22 parts

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