There are 10 points in a plane, out of these 6 are collinear. The number of triangles formed by joining these points, is

There are 10 points in a plane, out of these 6 are collinear. The number of triangles formed by joining these points, is

  1. A

    100

  2. B

    150

  3. C

    120

  4. D

    130

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    A triangle is obtained by joining three noncollinear points. So number of triangles on joining 3 points out of 10 points = 10C3.

    But, 6 points are collinear and on joining any three out of these 6, we do not obtain a triangle .

    Hence, the required number of triangles

    =10C36C3=12020=100.

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.