There are 16 points in a plane, no three of which are in a straight line except 8 which are all in a straight line. The number of triangles that can be formed by joining them equals

504

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552

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560

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1120

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Solution

The correct option is A 504
We can form a triangle as long as the three points are not on the given straight line.
$^{16} C_{3} -^{8} C_{3} = 504$

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There are 16 points in a plane, no three of which are in a straight line except 8 which are all in a straight line. The number of triangles that can be formed by joining them equals

The correct option is A 504We can form a triangle as long as the three points are not on the given straight line. 16C3−8C3=504

The correct option is A 504
We can form a triangle as long as the three points are not on the given straight line.
$^{16} C_{3} -^{8} C_{3} = 504$