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Permutations & Combinations

There are 25 ...

Question

There are 25 points on a plane of which 7 are collinear. How many triangles can be formed from these points ?

A

453

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B

2265

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C

755

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D

None of these

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Solution

The correct option is B 2265
Total triangle formed will be equal to
$^{25} C_{3} -^{7} C_{3} = 2265$

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