Question: Let G be a convex octagon and let us select ten points inside G in general position (no three on the same line), Let S

Let G be a convex octagon and let us select ten points inside G in general position (no three on the same line), Let S be the set of these ten points. Now draw some non intersecting straight segment so that these segments partition G into triangles, and the vertices of G and the elements of S. How many triangles are formed ?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Valu-Com Electronics manufactures five different models of telecommunications interface cards for personal and laptop computers. As summarized in the following table, each of these devices requires...

Convex geometry 0.1 Dehn-Sommerville relations In this section we will talk about convex polytopes. One possible denition of a convex polytope uses the notion of a half-space: A closed half-space in...

TACKLE ALL PARTSP5 Problem 1 The Airfare Problem1. You are trying to get the cheapest airfare that you can. You just called up and found that the ticket home will cost $400, and it cannot be refunded...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Describing Data Once we have collected data from surveys or experiments, we need to summarize and present the data in a way that will be meaningful to the reader. We will begin with graphical...

CHAP TER 1 The Role of Human Resources HUMAN RESOURCE MANAGEMENT DAY TO DAY You have just been hired to work in the human resource department of a small company. You heard about the job through a...

The Basics of Financial Mathematics Spring 2003 Richard F. Bass Department of Mathematics University of Connecticut c These notes are 2003 by Richard Bass. They may be used for personal use or class...

2. Standardized Financial Statements Using the Amazon Financials provided below, prepare the common-size income statements and balance sheets for the two most recent years. and 3. Financial Ratios....

6 | Consumer Choices Figure 6.1 Investment Choices Higher education is generally viewed as a good investment, if one can afford it, regardless of the state of the economy. (Credit: modification of...

I am wondering if anyone has corrected solutions to fnce 300 assignments 1 2 and 3. I am concered about my answers and would love to compare. Pretty sure on my answers for 1 and 2 mainly interested...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Beaver participated in the annual Elkhart Grand Prix go- kart races in Elkhart, Indiana. She signed an exculpatory agreement containing the release of the race organizers from all liability...

Your company can obtain a business line of credit from a bank at 7.5% compounded semiannually, or from the Small Business Development Bank at 7.45% compounded monthly. If your company requires...

1 Beech Corporstion is a merchandiyng company that is prepwing a master budget for the thind ouarter. The company's byionce sheet ans of Juse 3 0 h is shown below. \ table [ [ , Beech Ceeporation...

Presented below are incomplete 2022 manufacturing cost data for Wildhorse Corporation. Determine the missing amounts