In a class of origami, in Japan, my teacher Yamamotoyama gave me a circular paper, a knife and a scissors. She asked me to cut the paper in order to make triangles out of the circular sheet. She laid down some rules which were mandatory to follow for every origami student.
A sheet of paper has n points marked on its circumference
One must cut through the marked points only
Any cut must last from one marked point to another marked point
One has to cut the paper as many times as the number of chords are possible with n points on the circumference of a circle
One cannot displace the piece until all the possible cuts are made
If n=6, find the maximum possible number of triangles that can be cut out of the circular sheet such that none of the vertices of these triangles are the points of the circumferences

Options

A. 3
B. 6
C. 1
D. 2

Answer

C