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

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Solution

The correct option is A 20
$^{n} C_{4} = 70 \Rightarrow n = 8$ $∴$ no.q diagonals of polygon $\frac{n (n - 3)}{2}$

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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

The correct option is A 20nC4=70⇒n=8 ∴ no.q diagonals of polygon n(n−3)2

The correct option is A 20
$^{n} C_{4} = 70 \Rightarrow n = 8$ $∴$ no.q diagonals of polygon $\frac{n (n - 3)}{2}$