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How many solutions are there to the equation
u + v + w + x + y + z = 18
where u, v, w, x, y, and z are nonnegative integers, and x is at most 10?

 Jan 4, 2023
 #1
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a=listfor(n, 1, 11, (11+n) nCr 4);print a, "=", sum a

 

(495, 715, 1001, 1365, 1820, 2380, 3060, 3876, 4845, 5985, 7315) = 32857 - total number of solutions.

 Jan 4, 2023

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