Q: 88 (IAS/2006)

There are three parallel straight lines. Two points A and B are marked on the first line, points C and D are marked on the second lines and points E and F are marked on the third line. Each of these six points can move to any position on its respective straight line. Consider the following statements:
I. The maximum number of triangles that can be drawn by joining these points is 18.
II. The maximum number of triangles that can be drawn by joining these points is zero.
Which of the statements given above is/are correct?
question_subject: 
Logic/Reasoning
question_year: 
2006
question_exam: 
IAS
question_sub_subject: 
Reasoning
question_topic: 
Analytical
stats: 
0,32,152,64,32,48,40