Question:
If A = {1,2,3........,10} then number of subsets of A containing only odd number is
If A = {1,2,3........,10} then number of subsets of A containing only odd number is
Updated On: Nov 12, 2024
- 31
- 32
- 27
- 30
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The Correct Option is A
Solution and Explanation
Set A contains 5 odd numbers: {1, 3, 5, 7, 9}.
For each element, we have two choices: either include it in the subset or exclude it.
Since there are 5 odd numbers, we have \(2^5 = 32\) possible subsets that contain only odd numbers.
However, we need to exclude the empty set since it does not contain any odd numbers. So the number of subsets of A containing only odd numbers is \(32 - 1 = 31\). Therefore, the correct answer is option (A) 31.
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