Difference between revisions of "Mock AIME 5 Pre 2005 Problems/Problem 4"
(Created page with "Let the number of balls in the 8 boxes be <math>a_1,a_2,a_3,...,a_8</math>. Thus, we have <math>a_1+a_2+a_3+...+a_8=16</math>, where <math>a_1,a_2,a_3,...,a_8\geq1</math>. By...") |
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Latest revision as of 00:05, 15 February 2024
Let the number of balls in the 8 boxes be . Thus, we have
, where
. By stars and bars, the number of ways this is possible is
, and since
, the answer is
.
~AbbyWong