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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<n)? thanks! 
May 26th, 2019, 01:49 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,468 Thanks: 1342 
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.

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 bbe beb ebb bbee ebbe eebb total of 6 options. but how can I calculate it with big numbers...? 
May 29th, 2019, 10:29 AM  #7 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  

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