$T_{m}$ 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 $m =$

3

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6

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Solution

The correct option is A $6$
$T_{m + 1} - T_{m} = 15$
$\Rightarrow^{(m + 1)} C_{3} -^{m} C_{3} = 15$
By verification $m = 6$ by solve,.

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