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If 7 points out of 12 are in the same straight line, then the number of triangles formed is ?
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- 19
- 158
- 185
- 201
Correct Option: C
The number of ways of selecting 3 points out of 12 points is 12C3. The number of ways of selecting 3 points out of 7 points, on the same straight line is 7C3, Hence, the number of triangle formed will be 12C3 - 7C3 = 210 - 35 = 185.