Mathematics Homework Solutions
Problem
#44112

Discrete structures

We worked on the attached problems today in class I am now trying to work through them again for understanding and I am not getting very far.  My skills in discrete mathematics are not such that I can work through these on my own effectively.

3.  Seven points are located in a plane.  List the possible numbers of lines determined by these points.  Your final answer is simply a list of whole numbers.  You should indicate how each comes about.

4. Ten pieces of candy are distributed randomly to three children, Arlo, Burl, and Clovis.
a. What is the probability that Arlo gets no candy?
b. What is the probability that Arlo gets more candy than Burl and Clovis together?

5. In the grid below, we will be interested in the number of paths from point A to point B.  A step in a path is either one move to the right or one move up (never moving away from B).

Attached file(s):
Attachments
Problem #3 Jul 6th.doc  View File
Problem #4 Jul 6th.doc  View File
Problem #5 Jul 6th.doc  View File

Attachment Content Summary (Note: view attachment at the above link before purchasing. Actual attachment content may vary slightly from that shown below.)

Problem #3 Jul 6th.doc
3. Seven points are located in a plane. List the possible numbers of
lines determined by these points. Your final answer is simply a list of
whole numbers. You should indicate how each comes about.
Problem #4 Jul 6th.doc
Ten pieces of candy are distributed randomly to three children, Arlo,
Burl, and Clovis.

What is the probability that Arlo gets no candy?

What is the probability that Arlo gets more candy than Burl and Clovis
together?
Problem #5 Jul 6th.doc
In the grid below, we will be interested in the number of paths from
point A to point B. A step in a path is either one move to the right or
one move up (never moving away from B).

B

C



A

How many different paths are there from A to B?

What is the probability that a random path goes through the point
labeled C.

Solution Summary

There are three discrete problems here, regarding number of lines determined by points in a plain, probability of candy distribution, and the number of paths between points.

Solution
What is this?
By OTA - Overall OTA Rating
Departed OTA
Purchase Cost Now
$2.19 CAD (was ~$31.92)
Included in Download
  • Plain text response
  • Attached file(s):
    • Problem 3.zip
    • Problem 4.zip
    • Problem 5.zip
$2.19 Instant Download
Add to Cart
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • Lines through Non-Colinear Points - Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines that can be drawn through pairs of points. Fo ...
  • Working with iteration to develop a formula. - A single line divides a plane into two regions. Two lines (by crossing) can divide a plane into four regions, three lines can divide it into seven regions. Let psubn be the max number of regions into ...
  • Straight lines and planes... - Describe the 3 possible relationships for 2 straight lines in the same plane.
  • Are eight points in a plane concurrent? - 1. Eight points, A, B, C, D, E, F, G, and H are distributed in a plane. Exactly five of the points are on line l1, exactly three are on line l2, and exactly three are on line l3. Are the three line ...
  • Plane Separation : Half Plane and Non-Collinear Points - If H1 is a half plane determined by the line l, prove that H1 has at least 3 noncollinear points.
Browse