Division of m+n distinct object into two group of size m and n

Division of objects into group of equal size

Division Into Groups | Distinct Objects

Distribution of n distinct object in r different boxes (empty box allowed)

Distribution of n distinct object in r different boxes (empty box not allowed)

Find the total number of ways in which n distinct objects can be put into two different boxes.

Division into groups | Alike Objects

Find the number of ways in which n distinct objects can be kept into two identical boxes that no box remains empty.

Find the total number of way in which n distinct objects can be put into two different boxes

The number of ways in which n distinct objects can be put into two different boxes, is