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

There are n points in a plane of which no three are in a straight line except 'm' which are all in a straight line. Then the number of different quadrilaterals, that can be formed with the given points as vertices, is

A

`.^nC_4` - `.^mC_3``.^(n - m + 1)C_1` - `.^mC_4`

B

`.^nC_4` - `.^mC_3``.^(n - m)C_1` + `.^mC_4`

C

`.^nC_4` - `.^mC_3``.^(n - m)C_1` - `.^mC_4`

D

`.^nC_4` + `.^nC_3````.^mC_1`

Text Solution

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The correct Answer is:
C
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