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On the sides $AB, BC, CA$ of a $\Delta ABC, 3, 4, 5$ distinct points (excluding vertices $A, B, C$) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices a re :
On the sides $AB, BC, CA$ of a $\Delta ABC, 3, 4, 5$ distinct points (excluding vertices $A, B, C$) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices a re :
Updated On: Jul 5, 2024
- $210$
- $205$
- $215$
- $220$
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The Correct Option is B
Solution and Explanation
Required number of triangles
$= ^{12}C_{3} - \left( ^{3}C_{3}+ ^{4}C_{3}+ ^{5}C_{3}\right) = 205$
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