Permutations And Combinations Question 75

Question: Out of 10 points in a plane 6 are in a straight line. The number of triangles formed by joining these points are [RPET 2000]

Options:

A) 100

B) 150

C) 120

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Number of triangles = $ ^{10}C_3-{{}^{6}}C_3 $ $ =120-20=100 $ .