Quantitative Aptitude Ques 1119
Question: The total number of triangles that can be formed from 12 points out of which 4 points arc collinear, is
Options:
A) 220
B) 224
C) 216
D) 210
Show Answer
Answer:
Correct Answer: C
Solution:
- Total number of triangles which can be formed by selecting any three points from 12 points $ ={}^{12}C _3 $ Since, 4 points are collinear. Selecting three points from these 4 points $ ={}^{4}C _3 $ So, required number of triangles which can be formed $ ={}^{12}C _3-{}^{4}C _3 $ $ =\frac{12\times 11\times 10}{3\times 2\times 1}-\frac{4\times 3\times 2}{3\times 2\times 1} $ $ =220-4=216 $
BETA
