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JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1
Let TnT_n be the number of all possible triangles formed by joining vertices of an nn-sided regular polygon. If Tn+1−Tn=10T_{n+1}-T_n=10, the value of nn is
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Correct option: A
5
Option A (5) is correct because the equation Tn+1−Tn=10{T_{n + 1}} - {T_n} = 10 simplifies to nC2=10{^n}{C_2} = 10, which is satisfied when n = 5.

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