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If A ={1,2,3,4,5,....10} , then the num...

If A =`{1,2,3,4,5,....10}` , then the number of all possible subsets of A .

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To find the number of all possible subsets of the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Set**: The given set A is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. 2. **Count the Number of Elements**: Count the elements in set A. There are 10 elements in total. 3. **Use the Subset Formula**: The formula to calculate the number of subsets of a set is \(2^n\), where \(n\) is the number of elements in the set. 4. **Substitute the Value of n**: Here, \(n = 10\). So, we substitute this value into the formula: \[ \text{Number of subsets} = 2^{10} \] 5. **Calculate \(2^{10}\)**: Now, we need to calculate \(2^{10}\): \[ 2^{10} = 1024 \] 6. **Conclusion**: Therefore, the number of all possible subsets of set A is 1024. ### Final Answer: The number of all possible subsets of A is **1024**. ---
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