$A$ polygon has $44$ diagonals. Then the number of sides of the polygon is:

$p$ points are chosen on each of the three coplanar lines. The maximum number of triangles formed with vertices at these points is

There are $16$ points in a plane out of which $6$ are collinear. How many lines can be drawn by joining these points?

If there are $m$ parallel lines in each of the two sets of parallel lines that form a parallelogram,then the total number of parallelograms formed is:

Some couples participated in a mixed doubles badminton tournament. If the number of matches played,such that no couple played in a match,is $840$,then the total number of persons who participated in the tournament is $........$.

Three out of $6$ vertices of a regular hexagon are chosen at random. The probability that the triangle formed with these three vertices is an equilateral triangle is