Probability
Distribution into Bins
How many ways are there to put 7 identical marbles into non-empty groups?
How many ways are there to put 14 identical oranges into 6 non-empty groups?
Which of the following is equal to the number of distributions of 28 identical objects into exactly 9 identical non-empty boxes?
How many ways are there to organize 3 identical red balls and 4 identical blue balls into 3 identical containers such that no container is empty?
How many ways are there to put 10 identical coins into 5 non-empty groups?