Question

abcde is a regular pentagon with f at its center. how many different triangles can be formed by joining 3 of the points a,b,c,d,e and f?

Answer 1

Any 3 points from 6 will make a triangle, since no 3 points are collinear, then:

6C3=20 ANS

TIPS ON RELATED ISSUES:

In a plane if there are n points of which no three are collinear, then

1. The number of straight lines that can be formed by joining them is nC2.

2. The number of triangles that can be formed by joining them is nC3.

3. The number of polygons with k sides that can be formed by joining them is nCk.

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Answer 2

ABCDE is a regular pentagon with F at its center. how many different triangles can be formed by joining 3 of the points a,b,c,d,e and f

6C3=20 ans