We have 02 lines, the first has 8 points & the second 7. If we start with the first 8 points, we have:

8! / 3! * (8-3)! possibilities to draw triangles or 56 triangles

Second line with 7 points:

7! / 3! * (7-3) ! or 35 triangles

56 + 35 = 91 Triangles - Answer A.

Because otherwise, it should be 364 but it is not in the answer choices !!!!!!

- Line 1 (8 points) & Line 2 (7 points), For Triangle: from line 1, we need 2 points: 8!/2!(8-2)! = 28 * 7 (third point on line 2) = 196

- Line 2 (7 points) & Line 1 (8 points), For Triangle: from line 2, we need 2 points: 7!/2!(7-2)! = 21 * 8 (third point on line 1) = 168

Total Number of triangles: 196 + 168 = 364 - NOT IN ANSWER CHOICE.........

Please advice why 364 is not there and therefore whether A is correct. Thanks.

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