Write down all possible subsets of each of the sets given below :
{1}

Answer

To find all possible subsets of the set {1}, we can follow these steps:

### Step 1: Identify the set
We start with the set given in the question, which is {1}. This set has one element.

### Step 2: Determine the number of subsets
The formula for finding the number of subsets of a set is given by \(2^n\), where \(n\) is the number of elements in the set. In this case, since our set {1} has one element, we have:
\[ n = 1 \]
Thus, the number of subsets is:
\[ 2^n = 2^1 = 2 \]

### Step 3: List all possible subsets
Now that we know there are 2 subsets, we can list them. The subsets of a set include the empty set and the set itself. Therefore, the subsets of {1} are:
1. The empty set, denoted as \( \emptyset \) or {}.
2. The set itself, which is {1}.

### Conclusion
The complete list of subsets for the set {1} is:
- \( \emptyset \) (or {})
- {1}

### Final Answer
The subsets of the set {1} are: \( \emptyset, \{1\} \).

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