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Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrEasy2 minQB

MathematicsEasysingle choice

In a polygon, no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon be 70. Then the number of diagonals of the polygon is

Options:

Answer:

Solution:

Given, $n C_{4} = 70 \Rightarrow n = 8$

No. of diagonals $= n C_{2} - n = 28 - 8 = 20$

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

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