(а) х1 < 8 аnd x> > 8 ?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter14: Sequences And Mathematical Induction
Section14.4: Mathematical Induction
Problem 11PS
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Discrete Math

I need help with part 4

Bars and Stars counting method
1. Problem 16, page 432, Rosen-textbook How many solutions are there to the equation
x1 + x2 + x3 + x4 + x5 + x6 = 29
where xi, i = 1, 2, 3, 4, 5, 6 is a nonnegative integer such that
(а) х, > 1 for all i — 1,2, 3, 4,5, 6?
(6) х1 > 1, х2 2 2, х3 > 3, ХА > 4, 25 > 5 аnd x6 > 6?
(c) xị < 5 ?
(d) x1 < 8 and x2 > 8 ?
Transcribed Image Text:Bars and Stars counting method 1. Problem 16, page 432, Rosen-textbook How many solutions are there to the equation x1 + x2 + x3 + x4 + x5 + x6 = 29 where xi, i = 1, 2, 3, 4, 5, 6 is a nonnegative integer such that (а) х, > 1 for all i — 1,2, 3, 4,5, 6? (6) х1 > 1, х2 2 2, х3 > 3, ХА > 4, 25 > 5 аnd x6 > 6? (c) xị < 5 ? (d) x1 < 8 and x2 > 8 ?
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