# Mock AIME 5 Pre 2005 Problems/Problem 4

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

Art of Problem Solving

AoPS Academy

Small live classes for advanced math

and language arts learners in grades 2-12.

Visit AoPS Academy ‚
and language arts learners in grades 2-12.

Sign In

Register

Sign In

Register

Revision as of 23:05, 14 February 2024 by Abbywong (talk | contribs) (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...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Mock_AIME_5_Pre_2005_Problems/Problem_4&oldid=215518"

Subscribe for news and updates

© 2024 AoPS Incorporated

Copyright © 2024 Art of Problem Solving

Something appears to not have loaded correctly.