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+1 vote
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in Combinations by (48.8k points)
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The number of triangles that are formed by choosing the vertices from a set of 12 points, seven of which lie on the same line is 

A. 105  B. 15 C. 175 D. 185

1 Answer

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by (50.2k points)
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Best answer

D. 185

Formula:-

Triangle are form by 3 point

Total number of triangle formed = C312

Triangle formed by vertices from a set of 12 points and seven point

12C3-7C3

=220-35

=185

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