[求助] GWD 29-8

小妹觉得两个条件合并在一起，还是无法确定会有几个三角形，但答案是C，

还请各位帮帮忙多指点
                          感谢不尽!

Q8:

S is a set of points in the plane.  How many distinct triangles can be drawn that have three of the points in S as vertices?

(1)       The number of distinct points in S is 5.

(2)       No three of the points in S are collinear.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

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