In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Input: Consider Input: Problem: 6 points lie on the circumference of a ellipse . what is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points ?
Options: a ) 4 , b ) 6 , c ) 5 , d ) 15 , e ) 20

Output: c

Input: Consider Input: Problem: if n is the smallest integer such that 144 times n is the square of an integer , what is the value of n ?
Options: a ) 2 , b ) 3 , c ) 6 , d ) 12 , e ) 24

Output: a

Input: Consider Input: Problem: if the volume of two cubes are in the ratio 64 : 8 , the ratio of their edges is :
Options: a ) 3 : 1 , b ) 3 : 2 , c ) 3 : 5 , d ) 2 : 1 , e ) none of these
Output: d