Question

Find the number of ways in which 7 people can be separated into 2 groups of 4 and 3.

Answer 1

Answer:

which means two labelled groups. If you have N persons, choose any subset of them, form a group with them, and form another group with the rest of them. Since there are 2N subsets of a set with N elements, there are 2N ways of dividing the persons into two groups.