The number of different straight lines that can be formed by joining n points in a plane where no three points are collinear is____

^{n} C_{3}

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^{n} C_{2}

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^{n} P_{3}

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^{n} P_{2}

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Solution

The correct option is D $^{n} C_{2}$
A combination is a "one or more elements selected from a set in any order "
As a straight line is is formed by joining $2$ points, $2$ points can be selected from $n$ points in $^{n} C_{2}$ ways

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The number of different straight lines that can be formed by joining n points in a plane where no three points are collinear is____

The correct option is D nC2A combination is a "one or more elements selected from a set in any order "As a straight line is is formed by joining 2 points, 2 points can be selected from n points in nC2 ways

The correct option is D $^{n} C_{2}$
A combination is a "one or more elements selected from a set in any order "
As a straight line is is formed by joining $2$ points, $2$ points can be selected from $n$ points in $^{n} C_{2}$ ways