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0 votes
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in Permutations and Combinations by (47.9k points)

There are n points in a plane in which m points are collinear. How many triangles will be formed by joining three points?

1 Answer

+1 vote
by (46.2k points)
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Best answer

For making a triangle we need three points thus if 3 points out of n points are not in a line, then nC3 triangle can be formed by n points but m point is in a line, thus mC3 triangle forms less.

Hence, required number of triangles = nC3 – mC3.

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