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JEE MATHEMATICS MCQ: COMBINATIONS

1 Easy

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Application +4 | -1

Let

{T_n}

be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If

{T_{n + 1}} - {T_n} = 10,

then the value of

n

is

View answer and explanation

Correct option: B

5

Option B (5) is correct because solving the equation

{T_{n + 1}} - {T_n} = 10

using the formula for the number of triangles formed by vertices of a polygon yields n = 5.

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n