   Chapter 9.5, Problem 17ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# Ten points Libeled A. B. C. D. E. F. G. H, I. J axe arranged in a plane in such a way that no three Me on the same straight line. a. How many straight lines are determined by the ten points' b. How many of these straight lines do not pass through point -4? C. How many triangles have three of the ten points as vertices? d. How many of these triangles do not have point A as a vertex?

To determine

(a)

The number of straight lines determined by the ten points.

Explanation

Given information:

10 points on a plane lebeled as ABCDEFGHIJ. No three points are liying on a same straight line.

Concept used:

One straight line can be formed by minimum 2 points.

Calculation:

The number of straight lines from these 10 points is obtained by selecting 2 points from the 10 points, it is given by (102)

To determine

(b)

The number of straight lines do not pass through point A.

To determine

(c)

The triangles have three of the ten points as vertices.

To determine

(d)

The number of triangles do not have A as a vertex.

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