Ten
straight lines, no two of which are parallel and no three of which pass through
any common point, are drawn on a plane. The total number of regions (including
finite and infinite regions) into which the plane would be divided by the lines
is

If
there are 'm' non-parallel lines, then the maximum number of
regions into which the plane is divided is given by [m(m+1)/2]+1

In
this
case, 'm' = 10

So,
the number of regions into which the plane is divided is (10*11/2) + 1 = 56...