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    Question

    A total of 24 points are given on a plane, out of which

    10 are collinear. How many distinct straight lines can be formed using these points?
    A 276 Correct Answer Incorrect Answer
    B 231 Correct Answer Incorrect Answer
    C 233 Correct Answer Incorrect Answer
    D 232 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Lines formed from 24 points = 24C2 = (24 × 23)/2 = 12 × 23 = 276

    But the lines drawn with 10 collinear points will be same and it will be considered as single line.

    So, lines formed from 10 collinear points = 10C2 = (10 × 9)/2 = 45

    Desired number of straight lines that can be formed = 276 – 45 + 1 = 232

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