Suppose there are n lines in the plane, no two are parallel and no three are intersecting at one point. Into how many regions is the plane divided by these lines? Let f(n) denote the number of regions the plane is divided into by n lines. Hint: Do the following. (a) Compute the values for f(n) for n = conjecture on the formula of f (n). (c) Justify the conjecture. You can use induction. 1,2,3,4,5. (b) Give a

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