Question

The number of subsets of the set $A=\{1,2,3,\dots ,9\}$ containing at least one odd number is

• A. $324$
• B. $396$
• C. $496$
• D. $512$

Answer 1

The correct option is C $496$

Total number of subsets $=2^9$
In $A,$ there are five odd numbers (four even numbers).
So, the number of subsets without odd numbers (only even numbers) $=2^4$
$\therefore$ Required number of subsets
$=$ Total number of subsets $-$ Number of subsets without odd numbers
$=2^9-2^4=512-16=496$