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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

`""^(m)C_3xx ""^(n)C_3 xx ""^(k)C_3`

B

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

C

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

D

none of these

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The correct Answer is:
B
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