JEE Mains · Maths · STD 11 - 6. permutation and combination
If the sides \(A B, B C\) and \(C A\) of a triangle \(A B C\) have \(3,5\) and \(6\) interior points respectively, then the total number of triangles that can be constructed using these points as vertices, is equal to ....... .
- A \(364\)
- B \(240\)
- C \(333\)
- D \(360\)
Answer & Solution
Correct Answer
(C) \(333\)
Step-by-step Solution
Detailed explanation
Total Number of triangles formed \(={ }^{14} C _{3}-{ }^{3} C _{3}-{ }^{5} C _{3}-{ }^{6} C _{3}\) \(=333\)
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