There are $11$ points in a plane,of which $5$ points are collinear. The total number of distinct quadrilaterals that can be formed with vertices at these points is:

In a plane,there are $37$ straight lines,of which $13$ pass through the point $A$ and $11$ pass through the point $B$. Besides,no three lines pass through one point,no line passes through both points $A$ and $B$,and no two lines are parallel. The number of intersection points the lines have is equal to:

$15$ girls are seated at a round table. The number of ways of selecting three girls such that all the three are not seated together is

There are $n$ distinct points on the circumference of a circle. If the number of pentagons that can be formed using these points as vertices is equal to the number of triangles that can be formed,then what is the value of $n$?

In how many ways can a mixed doubles tennis game be arranged from $7$ married couples if no husband and wife are in the same game?

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