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husnain

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From: Chichawatni,Pakistan

Registered: 2014-10-03

Posts: 8,129

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Non Collinear Points:

Question:
There are 7 non-collinear points. How many triangles can be drawn by joining these points?

Option A):
35 
Option B):
7
Option C):
8
Option D):
10

Correct Answer is Option A):
35 

Explanation:
A triangle is formed by joining any three non-collinear points in pairs.
There are 7 non-collinear points.
The number of triangles formed,
= 7C3
= [{7 *(7−1) *(7−2)} /3! ]
=(7 *6 *5)/(3 *2 *1) = 7 *5 = 35.

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