If A = {1, 2, 3, ldots, 10},then the number o | vedclass

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(A) Given,$A = \{1, 2, 3, \ldots, 10\}$.The set of odd numbers in $A$ is $S = \{1, 3, 5, 7, 9\}$.The number of elements in $S$ is $n = 5$.The total nu

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$31$

Vedclass · Answer

(A) Given,$A = \{1, 2, 3, \ldots, 10\}$.The set of odd numbers in $A$ is $S = \{1, 3, 5, 7, 9\}$.The number of elements in $S$ is $n = 5$.The total number of subsets of $S$ is $2^n = 2^5 = 32$.Since the question asks for subsets containing only odd numbers,we exclude the empty set (which contains no elements and thus no odd numbers).Therefore,the number of non-empty subsets is $2^5 - 1 = 32 - 1 = 31$.

If $A = \{1, 2, 3, \ldots, 10\}$,then the number of non-empty subsets of $A$ containing only odd numbers is

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