AP EAMCET · Maths · Permutation Combination
Three parallel straight lines \(L_1, L_2\) and \(L_3\) lie on the the same plane. Consider 5 points on \(L_1, 7\) points on \(L_2\) and 9 points on \(L_3\). Then the maximum possible number of triangles formed with vertices at these points, is
- A 1330
- B 1200
- C 1201
- D 129
Answer & Solution
Correct Answer
(C) 1201
Step-by-step Solution
Detailed explanation
Number of triangles if one vertex at each line is \[ ={ }^5 C_1 \times{ }^7 C_1 \times{ }^9 C_1=315 \] Number of triangles if two vertices at \(L_1\) and remaining at either \(L_2\) or \(L_3\) is \(={ }^5 C_2 \times{ }^{16} C_1=160\) Number of triangles if two vertices at…
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