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How many solutions are there to the equation u+v+w+x+y+z=10
where u, v, w, x, y, and z are nonnegative integers, and x is at most 2?

 Apr 14, 2023
 #1
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a=listfor(n, 1, 3, (11+n) nCr 4);print a, "=", sum a

 

(495, 715, 1001) = 2,211 - total number of solutions.

 Apr 14, 2023

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