Six straight lines are drawn in a plane with no two parallel
and no three concurrent. The number of regions in to which they divide the
plane is:
Solution:
(1)16 (2)20 (3)22 (4)24
Solution follows here:
Funda here is:
“Maximum number of regions can be achieved when the lines
are drawn such that no two are parallel and no three are concurrent”
“Maximum number of regions that ‘n’ straight lines can
divide a plane = ∑n+1”
The number of regions = ∑6+1 = (6*7)/2 + 1 = 21+1 = 22
Answer (3)
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