Write down the subsets of the set
{a,b}

Answer

To find the subsets of the set {a, b}, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Set**: We start with the set given, which is {a, b}.

2. **Count the Elements**: Determine the number of elements in the set. Here, we have 2 elements: 'a' and 'b'.

3. **Use the Subset Formula**: The total number of subsets of a set can be calculated using the formula \(2^n\), where \(n\) is the number of elements in the set. In this case, \(n = 2\). Therefore, the total number of subsets is \(2^2 = 4\).

4. **List the Subsets**: Now we can list all the subsets. The subsets of a set include:
- The empty set: {}
- The set containing only 'a': {a}
- The set containing only 'b': {b}
- The set containing both 'a' and 'b': {a, b}

5. **Final List of Subsets**: Thus, the complete list of subsets of the set {a, b} is:
- {}, {a}, {b}, {a, b}

### Final Answer:
The subsets of the set {a, b} are: {}, {a}, {b}, {a, b}.

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