The number of different triangles that can be formed by joining n points on a plane where no three points are collinear is____.

^{n} P_{3}

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2 \times^{2} P_{3}

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2 \times^{n} C_{3}

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^{n} C_{3}

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Solution

The correct option is C $^{n} C_{3}$
A combination is a "one or more elements selected from a set in any order "
As a triangle is is formed by joining $3$ points, $3$ points can be selected from $n$ points in $n_{C_{3}}$ ways

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Q. There are

n

points in a plane no three of which are in the same line except

p

points which are collinear. The number of triangles formed by joining them is ?

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The number of different triangles that can be formed by joining n points on a plane where no three points are collinear is____.

The correct option is C nC3A combination is a "one or more elements selected from a set in any order "As a triangle is is formed by joining 3 points, 3 points can be selected from n points in nC3 ways

The correct option is C $^{n} C_{3}$
A combination is a "one or more elements selected from a set in any order "
As a triangle is is formed by joining $3$ points, $3$ points can be selected from $n$ points in $n_{C_{3}}$ ways