Solution:
Number of straight lines from \(n\) points (no three collinear) is \(\binom{n}{2}\).
Here, \(n = 15\).
\[ \binom{15}{2} = \frac{15 \times 14}{2} = 105 \]
Adjustment for collinearity:
Out of 15 points, 5 are collinear.
Lines from these 5 points = \(\binom{5}{2} = 10\).
But actually they form only 1 line.
Extra counted = \(10 - 1 = 9\).
Correct total lines:
\[ 105 - 9 = 96 \]
Final Answer: The total number of straight lines formed = 96
Online Test Series, Information About Examination,
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Online Test Series, Information About Examination,
Syllabus, Notification
and More.
Commented Mar 23 , 2025
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