Q2 Consider nonnegative integer solutions of the equation x_1+x_2+x_3+x_4+x_5+x_6=30x1+x2+x3+x4+x5+x6=30. Q2.1 How many different solutions are there? Q2.2 How many solutions also satisfy: for every i\in \{ 1,2,3,4,5,6\}i∈{1,2,3,4,5,6}, x_ixi is positive and even?
Q2 Consider nonnegative integer solutions of the equation x_1+x_2+x_3+x_4+x_5+x_6=30x1+x2+x3+x4+x5+x6=30. Q2.1 How many different solutions are there? Q2.2 How many solutions also satisfy: for every i\in \{ 1,2,3,4,5,6\}i∈{1,2,3,4,5,6}, x_ixi is positive and even?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 30RE
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Q2
Consider nonnegative integer solutions of the equation x_1+x_2+x_3+x_4+x_5+x_6=30x1+x2+x3+x4+x5+x6=30.
Q2.1
How many different solutions are there?
Q2.2
How many solutions also satisfy: for every i\in \{ 1,2,3,4,5,6\}i∈{1,2,3,4,5,6}, x_ixi is positive and even?
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