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n(1),n(2)andn(3) points are given on th...

`n_(1),n_(2)andn_(3)` points are given on the sides BC ,CA and AB respectively of the triangle ABC . Find the number of triangles formed by taking these given points as vertices of a triangle .

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The correct Answer is:
`.^(n_(1)+n_(2)+n_(3))C_(3)-(.^(n_(1))C_(3)+.^(n_(2))C_(3)+.^(n_(3))C_(3))`
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CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7B ( Long Answer Type Questions )
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