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How many solutions are there to the equation

 

\(u + v + w + x + y + z = 8, \)


where \(u, v, w, x, y\) and \(z\) are nonnegative integers, and \(x\) is at most \(2\)?

 Dec 31, 2023
 #1
avatar+796 
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This is AoPS homework.  Do not post AoPS homework.

 Dec 31, 2023
 #2
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This is a rather intriguing (and ironic) development, maximum. 

Holtran  Dec 31, 2023
edited by Holtran  Dec 31, 2023

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