The number of different quadrilaterals that can be formed by using the vertices of a regular decagon, such that quadrilaterals has no side common with the given decagon, is

Consider a polygon of sides 'n' which satisfies the equation 3*^(n)P_(4)=^(n-1)P_(5) . Q. Number of quadrilaterals thatn can be formed using the vertices of a polygon of sides 'n' if exactly 1 side of the quadrilateral in common with side of the n-gon, is

The number of triangles that can be formed using the vertices of a 20 sided regular polygon such that the triangle and the polygon does not have any side common is

How many quadrilaterals can be formed joining the vertices of a convex polygon of n sides?

How many triangles can be formed by joining the vertices of an n- sided polygen?

Show that any four vertices of a regular pentagon form a cyclic quadrilateral.

Consider a polygon of sides 'n' which satisfies the equation 3*.^(n)P_(4)=.^(n-1)P_(5) . Q. Number of quadrilaterals that can be made using the vertices of the polygon of sides 'n' if exactly two adjacent sides of the quadrilateral are common to the sides of the n-gon is

The number of rectangles that can be obtained by joining four of the twelves verties of a 12-sides regular polygon is -

Three vertices are chosen at random from the vertices of a regular hexagon then The probability that the triangle has exactly two sides common with the side of the hexagon is

Find the number of diagonals that can be drawn by joining the angular ponts of decagon .

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is also the side of the quadrilateral is