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If $A=\{1,2,3, \ldots, 10\}$, then number of subsets of $A$ containing only odd numbers is
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The correct answer is:
31
Given, $A=\{1,2,3, \ldots, 10\}$
Set $A$ containing only odd number $=\{1,3,5,7,9\}$ Number of subsets $=2^5$
[it contains empty set also]
The required number of subsets of $A$ containing only odd number $=2^5-1$
$$
=32-1=31
$$
Set $A$ containing only odd number $=\{1,3,5,7,9\}$ Number of subsets $=2^5$
[it contains empty set also]
The required number of subsets of $A$ containing only odd number $=2^5-1$
$$
=32-1=31
$$
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