How many solutions (using only nonnegative integers) are there to the equation $$x_1+ x_2 + x_3 + x_4 + x_5 = 31\;?$$
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Mike Pierce
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Princess Sy
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Where did you come across this problem, and how would you approach solving it? – Mike Pierce Mar 30 '16 at 23:44
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Please see Stars and Bars (combinatorics, Wikipedia) or the many answers on MSE that discuss Stars and Bars. – André Nicolas Mar 30 '16 at 23:45