CameraIcon

SearchIcon

MyQuestionIcon

147

You visited us 147 times! Enjoying our articles? Unlock Full Access!

Combination

The vertices ...

Question

The vertices of a regular polygon of 12 sides are joined to form triangles. The number of triangles which do not have their sides as the sides of the polygon is

A

96

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

108

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

11

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

220

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
11

$T o t a l N o . o f Δ l e s = 12_{C 3} = 220$

$N o . o f Δ l e s w i t h t w o s i d e s c o m m o n w i t h p o l y g o n = 12$

$N o . o f Δ l e s w i t h a l l s i d e c o m m o n = 8.12 = 96$

$∴ a n s = 220 - (12 + 96) = 112$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The number of triangles that can be formed with the vertices of a polygon of 8 sides as their vertices if the triangle can not have any side common with the polygon.

n

-sided polygon, the sides are painted blue and red alternatively. The vertices of the polygon are joined to form triangles with one side in common with the polygon. Find the number of such triangles with one blue side.

Q. Number of triangles formed by joining the vertices of

n

sided polygon which has no side in common with that of the polygon.

Q. Triangles are formed with vertices of a regular polygon of 20 sides. The probability that no side of the polygon is a side of the triangle is

\frac{λ}{57}

\frac{λ}{40}

Q. A regular polygon has

20

sides. How many triangles can be drawn by using the vertices but not using the sides

?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Combinations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon