Find the number of subsets that can be formed from the set `A={4,5,6}`

Answer

To find the number of subsets that can be formed from the set \( A = \{4, 5, 6\} \), we can follow these steps:

### Step 1: Identify the set and its elements
The given set is \( A = \{4, 5, 6\} \).

### Step 2: Count the number of elements in the set
We can see that the set \( A \) contains three elements: 4, 5, and 6. Therefore, the number of elements \( n \) in set \( A \) is:
\[ n = 3 \]

### Step 3: Use the formula for the number of subsets
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.

### Step 4: Substitute the value of \( n \) into the formula
Now, substituting \( n = 3 \) into the formula:
\[ \text{Number of subsets} = 2^3 \]

### Step 5: Calculate the result
Calculating \( 2^3 \):
\[ 2^3 = 8 \]

### Conclusion
Thus, the number of subsets that can be formed from the set \( A = \{4, 5, 6\} \) is \( 8 \).

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