12 points lie on a circle . how many cyclic quadrilaterals can be drawn by using these points ?
explanation : for any set of 4 points we get a cyclic quadrilateral . number of ways of choosing 4 points out of 12 points is \ inline { \ color { black } 12 c _ 4 { } } = 495 . therefore , we can draw 495 quadrilaterals answer : c ) 495
divide(factorial(12), multiply(factorial(const_4), factorial(subtract(12, const_4))))