|Nov21-11, 12:37 AM||#1|
Balls in a bin (w/ a twist)
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.
|Nov21-11, 07:04 AM||#2|
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.
|Nov21-11, 10:27 PM||#3|
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.
|Similar Threads for: Balls in a bin (w/ a twist)|
|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|