List all the subsets of {2, o, t}.

A subset consists of any number of members of the given set. Notice that this definition includes the empty set (˅) and the given set itself.

To list all the subsets of three members, you will need to list all possible combinations of the members, this includes
1 subset of 0 member (˅)
3 subsets of 1 member
3 subsets of 2 members and
1 subset of 3 members.
Try to enumerate post these subsets and we will be glad to check your answers.

1. List all the subsets of {2, o, t}.

To list all the subsets of a given set, you can systematically go through each element of the set and decide whether or not to include it in each subset.

Let's begin by considering the empty set, which is always a subset of any set.

Next, consider subsets with only one element. In this case, we can have subsets with {2}, {o}, and {t}.

Moving on to subsets with two elements, we can have subsets with {2, o}, {2, t}, and {o, t}.

Finally, for subsets with three elements, we can have only one subset which is the original set itself, {2, o, t}.

Therefore, the subsets of {2, o, t} are:
- {}
- {2}
- {o}
- {t}
- {2, o}
- {2, t}
- {o, t}
- {2, o, t}