Question

How many quadrilaterals can be formed joining the vertices of a polygon of 12 sides?

Answer 1

Answer:

495.

Step-by-step explanation:

Now, in simple terms,

we require a total of 4 points to draw a quadrilateral.

Now, when joining the vertices of a polygon, 12 sides means total 12 points among which any 4 will produce a possible quadrilateral.

So, the answer is the possible ways we can choose any 4 points from the 12 points of the polygon we've got.

So, it can be expressed as,

C(12,4) = 12! / [4! X (12-4)!]

or, C(12,4) = (12 X 11 X 10 X 9) / (4 X 3 X 2 X 1)

or, C(12,4) = 495.

Answer 2

Answer:

495

Step-by-step explanation: