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Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrMedium2 minPYQ_2024

MathematicsMediumsingle choice

The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon is

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Solution:

$∵$ no. of triangles having no side common with a $n$ $sided polygon = \frac{^{n} C _{1} \cdot ^{n - 4} C _{2}}{3} = \frac{^{8} C _{1} \cdot ^{4} C _{2}}{3} = 16$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:nPr & nCr

⏱ 2mℹ️ Source: PYQ_2024

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