What number of lines passing through five points such that no three of them are collinear

Dear Student,

Please find below the solution to the asked query:
Total five pointsIf number of line must passes with all five points then there is no such line because no three points are collinearNow If lines passes through any of the five pointsThenNumber of lines=Take any 2 points from 5 points and line passes through+line passes through all five single points we can not add line passes through 3 or 4 points because no 3 points are collinearNumber of lines=C25+5=10+5=15 lines    AnswerC25=10 means we can select 2 points from  5 points by 10 ways

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