Find the number of distributions of 5 distinguishable balls in 3 identical cells, an empty cell allowed.

Distribution of n identical object in r different boxes if empty boxes are allowed

Find the total number of ways of selection of 4 distinct red balls, 2 identical black balls, and 3 identical white balls.

Find the total number of ways of selection of 4 distinct red balls, 2 identical black balls, and 3 identical white balls.

Distribution of n identical object in r different boxes if empty boxes are not allowed

Distinguish between : Stem cells and cells