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Question

For a quadrilateral ABCD , if 3,4,5 and 6 points are marked on the sides AB,BC,CD and DA respectively. Then number of triangles that can be formed with vertices on different sides, is 


Your Answer
A
270
Correct Answer
B
342
Your Answer
C
282
Your Answer
D
252

Solution

The correct option is B 342
Required triangle must have one point on each side of Quadrilateral.
Hence the required number of triangles
=3C1×4C1×5C1+3C1×4C1×6C1+3C1×5C1×6C1+4C1×5C1×6C1
=342

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