If `A={1,2,3,4}`, then the number of subsets of A are ____________.

Answer

To find the number of subsets of the set \( A = \{1, 2, 3, 4\} \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Set**: We have the set \( A = \{1, 2, 3, 4\} \).

2. **Count the Elements**: Count the number of elements in set \( A \). Here, \( A \) has 4 elements: 1, 2, 3, and 4.

3. **Use the Subset Formula**: The formula to find the number of subsets of a set is given by:
\[ \text{Number of subsets} = 2^n \]
where \( n \) is the number of elements in the set.

4. **Substitute the Value of \( n \)**: Since we have \( n = 4 \) (the number of elements in set \( A \)), we substitute this value into the formula:
\[ \text{Number of subsets} = 2^4 \]

5. **Calculate \( 2^4 \)**: Now, calculate \( 2^4 \):
\[ 2^4 = 16 \]

6. **Conclusion**: Therefore, the number of subsets of the set \( A \) is \( 16 \).

### Final Answer:
The number of subsets of \( A \) is **16**.

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