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JEE Main 20258 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
8 April
Shift
Evening Shift
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2025 · 8 April · Evening Shift · Mathematics · Permutation and Combination

There are 12 points in a plane, no three of which are in the same...

There are 12 points in a plane, no three of which are in the same straight line, except 5 points which are collinear. Then the total number of triangles that can be formed with the vertices at any three of these 12 points is

Options

  1. A230
  2. B220
  3. C200
  4. D210

Correct answer

D. 210

Step-by-step solution

12C3−5C3=210{ }^{12} \mathrm{C}_3-{ }^5 \mathrm{C}_3=210
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