0

Guest

Courses New

Find the number of quadrilaterals that can be made using the vertices of a polygon of 10 sides as their vertices and having exactly 2 common sides with the polygon>

Find the number of quadrilaterals that can be made using the vertices of a polygon of 10 sides as their vertices and having exactly 2 common sides with the polygon>

Grade:11

1 Answers

Ravi
askIITians Faculty 69 Points
9 years ago
Consider that to form a quadrilateral, 4 sides are needed of which only 2 need to be common with the decagon. So, selecting the first side can be done in 10 ways. The second side has to be selected from the 9 barring the 2 adjacent sides of the first side(so as not to include any more sides of the polygon in the quadrilateral formation). So 7 ways. As the last 2 sides will be formed by joining the end points of the selected sides(not being common to the polygon), so that will give the maximum no. of quadrilaterals that can be formed. But this no. will have twice the no. of unique quadrilaterals that can be formed. Apply the conditions to evaluate your answer.

Think You Can Provide A Better Answer ?

Other Related Questions on Magical Mathematics[Interesting Approach]

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More