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JEE Main & Advanced JEE Main Online Paper (Held On 23 April 2013)

  • question_answer
                    On the sides AB,BC, CA of                 \[\Delta \operatorname{ABC},\] 3, 4, 5 distinct points (excluding vertices A, B, C) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices are:     JEE Main Online Paper ( Held On 23  April 2013 )

    A)                   210                                      

    B)                                          205

    C)                                          215                                      

    D)                                          220

    Correct Answer: B

    Solution :

                      Required number of triangles                 \[{{=}^{12}}{{C}_{3}}-{{(}^{3}}{{C}_{3}}{{+}^{4}}{{C}_{3}}{{+}^{5}}{{C}_{3}})=205\]


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