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There are n points in a plane, in which ...

There are n points in a plane, in which no three are in a straight line except m which are all in a straight line. Find the number of (a) different straight lines, (b) different triangles, (c ) different quadrilaterals that can be formed with the given points as vertices.

A

`""^(n)C_(4)-""^(m)C_(3)(""^(n-m+1)C_(1))-""^(m)C_(4)`

B

`""^(n)C_(4)-""^(m)C_(3)(""^(n-m)C_(1))-""^(m)C_(4)`

C

`""^(n)C_(4)-""^(m)C_(3)(""^(m-m)C_(1))-""^(m)C_(4)`

D

`""^(n)C_(4)+""^(n)C_(3)*""^(m)C_(1)`

Text Solution

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The correct Answer is:
B
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