Twenty points are marked on a plane so that no three points are collinear except 7 points. How many triangles can be formed by joining the points

995

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1102

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1200

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1250

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Solution

The correct option is B $1102$
Total number of triangles $^{20} C_{3}$
Out of them $7$ are collinear.
So, we need to remove $^{7} C_{3}$
$∴^{20} C_{3} -^{7} C_{3} = 1102$
Hence, the answer is $1102.$

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Twenty points are marked on a plane so that no three points are collinear except 7 points. How many triangles can be formed by joining the points

The correct option is B 1102Total number of triangles 20C3Out of them 7 are collinear.So, we need to remove 7C3∴20C3−7C3=1102Hence, the answer is 1102.

The correct option is B $1102$
Total number of triangles $^{20} C_{3}$
Out of them $7$ are collinear.
So, we need to remove $^{7} C_{3}$
$∴^{20} C_{3} -^{7} C_{3} = 1102$
Hence, the answer is $1102.$