How many solutions does $$x_1 + x_2 + x_3 = 11$$ have, given that $x_1, x_2,$ and $x_3$ are nonnegative integers with $x_1 ≤ 3, x_2 ≤ 4,$ and $x_3 ≤ 6$?
I wasn't quite sure how to deal with the bounds given
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1Hint: Let $y_1=3-x_1$, $y_2=4-x_2$, and $y_3=6-x_3$ – Kenta S Jan 29 '21 at 19:30
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Ah, right! Thanks! – questionasker Jan 29 '21 at 19:32