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Maximum no of intersection of $n$ straight line=$\binom{n}{2}$

                                                                        =$\frac{n\left ( n-1 \right )}{2}$

Maximum no of intersection of $20$ straight line=$\frac{20\times \left ( 19 \right )}{2}$

                                                                          =190

Reference : Maximum No of point of intersection with n line

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