| The total number of triangles that can be formed from 12 points out of which 4 points are collinear? |
A) 220
B) 224
C) 216
D) 210
Correct Answer: C
Solution :
| Total number of triangles which can be formed |
| \[={}^{12}{{C}_{3}}-{}^{4}{{C}_{3}}=\frac{12!}{3!9!}-\frac{4!}{3!4!}\] |
| \[=220-4=216\] |
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