(a) Determine the number of nonnegative integer solutions to the pair of equations x1 + x2 +...
Question:
x1 + x2 + x3 = 6. x1 + x2 + ... + x5 = 15.
xi ≥ 0, 1 ≤ i ≤ 5.
(b) Answer part (a) with the pair of equations replaced by the pair of inequalities
x1 + x2 + x3 ≤ 6. x1 + x2 + ... + x5 = 15.
xi ≥ 0, 1 ≤ i ≤ 5.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 73% (15 reviews)
a For x 1 x 2 x 3 6 there are nonnegative integer solutions With x 1 x 2 x 3 6 and x 1 ...View the full answer
Answered By
Issa Shikuku
I have vast experience of four years in academic and content writing with quality understanding of APA, MLA, Harvard and Chicago formats. I am a dedicated tutor willing to hep prepare outlines, drafts or find sources in every way possible. I strive to make sure my clients follow assignment instructions and meet the rubric criteria by undertaking extensive research to develop perfect drafts and outlines. I do this by ensuring that i am always punctual and deliver quality work.
5.00+
6+ Reviews
13+ Question Solved
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Question Posted:
Students also viewed these Linear Algebra questions
-
(a) How many nonnegative integer solutions are there to the pair of equations x1 + x2 + x3 + . . . + x7 = 37, x1 + x2 + x3 = 6? (b) How many solutions in part (a) have x1, x2, x3 > 0?
-
The solution by Cramers rule to the linear system a 11 x 1 + a 12 x 2 + a 13 x 3 = b 1 , a 21 x 1 + a 22 x 2 + a 23 x 3 = b 2 , a 31 x 1 + a 32 x 2 + a 33 x 3 = b 3 , has And a. Find the solution to...
-
(a) Show that, for any positive integer n,
-
Argue whether or not you believe using a sample of students from your schools cafeteria (you recruit the next 100 people to visit the cafeteria to participate) may or may not yield biased estimates...
-
MagTech assembles tape players from four major components arranged as follows: The components can be purchased from three different vendors, who have supplied the following reliability data: a. If...
-
What are the steps for establishing a substance-abuse-free workplace?
-
The fluid axial velocities shown in Fig. P5.7 are the average velocities measured in \(\mathrm{ft} / \mathrm{s}\) in each annular area of a duct. Find the volume flowrate for the flowing fluid....
-
A recent annual report for FedEx contained the following data: Required: 1. Determine the accounts receivable turnover ratio and average days sales in receivables for the current year. 2. Explain the...
-
Bond valuation and yield to maturity Personal Finance Problem Mark Goldsmith's broker has shown him two bonds issued by different companies. Each has a maturity of 3 years, a par value of $3,000, and...
-
Under what unusual circumstance will the rate of markup on cost equal the rate of markup on selling price?
-
(a) In how many ways can 10 people, denoted A, B, I, J, be seated about the rectangular table shown in Fig. 1.11, where Figs. 1.11 (a) and 1.11(b) are considered the same but are considered different...
-
For any given set in a tennis tournament, opponent A can beat opponent B in seven different ways. (At 6-6 they play a tie breaker.) The first opponent to win three sets wins the tournament. (a) In...
-
Consider the two mutually exclusive service projects in Table P5.47. Assuming that you need service of either machine for an indefinite period, which project would be selected at i = 16%? Assume that...
-
Chemistry is taught at five high schools in the Santa Rosa Unified School District. The district has just received a grant of 100 microscopes which are to be apportioned to the five high schools...
-
a. How many different ways can a voter rank 3 candidates (no ties are allowed)? b. How many different ways can a voter rank 4 candidates (no ties are allowed)? c. How many different ways can a voter...
-
In Problems 15-18, use Hamilton's plan to apportion the new seats to the existing states. Then increase the number of seats by one and decide whether the Ala bama paradox occurs. Assume that the...
-
Chemistry is taught at five high schools in the Santa Rosa Unified School District. The district has just received a grant of 100 microscopes which are to be apportioned to the five high schools...
-
Use this information to answer the questions in Problems 12-17. How many votes would be necessary for a majority? In voting among three candidates, the outcomes are reported as: (BAC) (CAB) (CBA) 3 2...
-
Hsu-Mei wants to save $5,000 for a down payment on a car. To the nearest dollar, how much will she need to invest in an account now with 7.5% APR, compounded daily, in order to reach her goal in 3...
-
Assume that a trial balance is prepared with an account balance of $21,360 listed as $21,630 and an account balance of $1,500 listed as $15,000. Identify the transposition and the slide.
-
Test algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin. Then check your work graphically, if possible, using a graphing calculator. 5x - 5y = 0
-
Find the point that is symmetric to the given point with respect to the x-axis, the y-axis, and the origin. (a) (-5, 6) (b) (7/2, 0) (c) (-10, -7)
-
Determine visually whether the function is even, odd, or neither even nor odd. (a) (b) (c) YA
-
1. Write a Java program that will prompt the user for a number and print out a square with those dimensions. For example, if the user enters 5, return the following: * * * ** ** * * * * * * * * * * *...
-
2. Vector multiplication or dot product is performed by multiplying corresponding elements and summing the products. It can be represented mathematically as oa; *bi where a and b are vectors of...
-
The following data was collected from an experiment testing the hypothesis: The density of cream whipped for 5 minutes increases at higher altitudes. What would be an acceptable interpretation of...
Study smarter with the SolutionInn App