Quantitative Aptitude Ques 15

Question: The total number of triangles that can be formed from 12 points out of which 4 points are collinear?

Options:

A) 220

B) 224

C) 216

D) 210

Show Answer

Answer:

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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