A) 270
B) 220
C) 282
D) 342
Correct Answer: D
Solution :
[d] The no. of triangles with vertices on sides AB, BC, CD is \[^{3}{{C}_{1}}{{\times }^{4}}{{C}_{1}}{{\times }^{5}}{{C}_{1}}\] Similarly, for other cases, the total no. of triangles is \[^{3}{{C}_{1}}{{\times }^{4}}{{C}_{1}}{{\times }^{5}}{{C}_{1}}{{+}^{3}}{{C}_{1}}{{\times }^{4}}{{C}_{1}}{{\times }^{6}}{{C}_{1}}{{+}^{3}}{{C}_{1}}{{\times }^{5}}{{C}_{1}}{{\times }^{6}}{{C}_{1}}\]\[{{+}^{4}}{{C}_{1}}{{\times }^{5}}{{C}_{1}}{{\times }^{6}}{{C}_{1}}=342\]You need to login to perform this action.
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