TS EAMCET · Maths · Permutation Combination
\(T_m\) denotes the number of triangles that can be formed with the vertices of a regular polygon of \(m\) sides. If \(T_{m+1}-T_m=15\), then \(m\) is equal to
- A 3
- B 6
- C 9
- D 12
Answer & Solution
Correct Answer
(B) 6
Step-by-step Solution
Detailed explanation
\(T_{m+1}-T_m=15\) \([\because\) triangle can be formed by selecting 3 vertices] \[ \Rightarrow{ }^{m+1} C_3-{ }^m C_3=15 \] On verifying from the options, we get \(m=6\)
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