How many solutions (ordered 4-tuples (x1, x2, 13, T4)) are there to the equation X1 + x2 + x3 + x4 = 16

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 49E: Show that if the statement is assumed to be true for , then it can be proved to be true for . Is...
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1. How many solutions (ordered 4-tuples (x1, x2, ¤3, x4)) are there to the equation
Xị + x2 + 13 + x4 = 16
where x;, i = 1, 2, 3, 4 is a nonnegative integer such that x1 > 1, x2 > 2, x3 > 3 and x4 2> 4 ?
Use Mathematica to generate them all.
Transcribed Image Text:1. How many solutions (ordered 4-tuples (x1, x2, ¤3, x4)) are there to the equation Xị + x2 + 13 + x4 = 16 where x;, i = 1, 2, 3, 4 is a nonnegative integer such that x1 > 1, x2 > 2, x3 > 3 and x4 2> 4 ? Use Mathematica to generate them all.
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