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The straight lines I(1),I(2),I(3) are pa...

The straight lines `I_(1),I_(2),I_(3)` are paralled and lie in the same plane. A total number of m point are taken on `I_(1),n` points on `I_(2)`, k points on `I_(3)`. The maximum number of triangles formed with vertices at these points are

A

`"^mC_3xx^nC_3xx^kC_3`

B

`^(m+n+k)C_3 -("^mC_3+^nC_3+^kC_3)`

C

`"^(m+n+k)C_3`

D

none of the above

Text Solution

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The correct Answer is:
B
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