My Math Forum n balls in m cells

 Probability and Statistics Basic Probability and Statistics Math Forum

 May 25th, 2019, 11:04 PM #1 Newbie   Joined: May 2019 From: Israel Posts: 3 Thanks: 0 n balls in m cells Hi all, What is the formula to the number of option to arrange n balls in m cells, when each cell can hold up to x balls (x
 May 26th, 2019, 01:49 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,549 Thanks: 1399 identical balls? identical cells?
 May 26th, 2019, 09:31 PM #3 Newbie   Joined: May 2019 From: Israel Posts: 3 Thanks: 0 Balls are identical cells are not Identical balls Different cells
 May 27th, 2019, 05:41 PM #4 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 Give us your solution to 3 identical balls and 2 different cells. Thanks from greg1313
 May 28th, 2019, 10:49 PM #5 Newbie   Joined: May 2019 From: Israel Posts: 3 Thanks: 0 2 balls 3 cells lets say 2 balls, 3 cells and each cell can have up to 2 balls, options are: b- ball e- empty b|b|e b|e|b e|b|b bb|e|e e|bb|e e|e|bb total of 6 options. but how can I calculate it with big numbers...?
 May 29th, 2019, 10:06 AM #6 Senior Member     Joined: Sep 2015 From: USA Posts: 2,549 Thanks: 1399 I don't have an answer for you yet but I believe the solution can be found at this wiki page $T$ in this case is $\{k:k \in \mathbb{Z} \wedge 0\leq k < n\}$
 May 29th, 2019, 10:29 AM #7 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 https://www.careerbless.com/aptitude...tions_imp7.php State YOUR rules CLEARLY...

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