Question

# In a plane there are $$10$$ points out of which $$4$$ are collinear. How many triangles can be formed with these points as vertices.

A
116
B
155
C
160
D
185

Solution

## The correct option is A $$116$$There are $$3$$ ways for calculating the number of triangles1. Choose any $$3$$ from $$6$$ non-collinear points2. Choose any $$1$$ from $$4$$ collinear points and any $$2$$ from $$6$$ non collinear points.3. Choose any $$2$$ from $$4$$ collinear points and $$1$$ from $$6$$ non - collinear pointsNumber of Triangles $$=^4C_1 \times^6C_2 +^6C_3+^4C_2 \times ^6C_1=116$$Maths

Suggest Corrections

0

Similar questions
View More

People also searched for
View More