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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy
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Application +4 | -1
Let T4\mathrm{T}_4 denotes the number of triangles which can be formed by using the vertices of a regular polygon of nn sides, If Tn+1−Tn=21T_{n+1}-T_n=21, then nn equals.
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Correct option: A
7
Option A (7) is correct because solving the equation Tn+1−Tn=21T_{n+1} - T_n = 21 where Tn=nC3T_n = nC3 leads to n = 7.

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