How many subsets in all are there of a set with cardinal number 6?

Answer

To find the number of subsets of a set with a cardinal number of 6, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Cardinal Number**: The cardinal number of a set is the number of elements in that set. In this case, the cardinal number is given as 6.

2. **Use the Formula for Subsets**: The formula to calculate the number of subsets of a set is given by:
\[ \text{Number of subsets} = 2^p \]
where \( p \) is the cardinal number of the set.

3. **Substitute the Cardinal Number**: Since the cardinal number \( p \) is 6, we substitute this value into the formula:
\[ \text{Number of subsets} = 2^6 \]

4. **Calculate \( 2^6 \)**: Now we calculate \( 2^6 \):
\[ 2^6 = 64 \]

5. **Conclusion**: Therefore, the total number of subsets of a set with a cardinal number of 6 is 64.

### Final Answer:
The number of subsets of a set with cardinal number 6 is **64**.

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