Register to reply 
Balls in a bin (w/ a twist) 
Share this thread: 
#1
Nov2111, 12:37 AM

P: 2

I have a 15 balls and 8 bins. Each bin can only hold 4 balls. If throw the 15 balls in the bins (random) and all the balls land in the bins, how do i find the distribution of balls/bin. eg. #4 bins with 3 balls, #1 bin with 1 ball etc.
Thanks! 


#2
Nov2111, 07:04 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,568

You will need to find the total number of ways that you can have 8 numbers, each at least 1, none larger than 4, that add to 15.



#3
Nov2111, 10:27 PM

P: 2

Yes. I should have mentioned that I figure that part out but was wondering if there was a simplified formula to do the same? Because, I would also have to be able to count the number of times each integer between 1 and 4 occurs in the this combination.
Any help would be appreciated. 


Register to reply 
Related Discussions  
To build a triangular pile consisting of 120 balls, the number of balls in the base w  Precalculus Mathematics Homework  7  
Tate Twist  Linear & Abstract Algebra  0  
The annoying old 0.999... vs 1, hopefully with a twist  Calculus  9  
Red Balls, Green Balls and Expectations  Set Theory, Logic, Probability, Statistics  2  
Science with a twist  General Physics  2 