Bernhard is organizing his comic book collection. He has 12 distinct comic books that he would like organize into 2 non-empty groups.
How many ways are there for Bernhard to organize his comic book collection?
Pierre has a collection of 10 distinct action figures. He would like to show them off in 3 identical displays. He would like each display to have at least 2 action figures, but no more than 4 action figures.
How many ways are there for Pierre to organize his action figure displays?
How many ways are there to distribute 8 distinct clay pots into 5 identical shelves such that no shelf is left empty?
For your reference, the table below shows the values of Stirling numbers of the second kind for .
There are 2 red identical boxes and 2 blue identical boxes.
How many ways are there to distribute 6 distinct objects into these boxes such that no box is left empty?
How many ways are there to distribute 10 distinct students into 4 groups such that each group has at least 2 students in it?