The number of subsets of 1,2,3, , 9 containing at least one odd number is

Step-by-step solution

The total number of subsets of given set is 2⁹=512 Even numbers are 2,4,6,8 . Case I : When selecting only one even number = 4 1 =4 Case II : When selecting only two even numbers = 4 2 =6 Case III : When selecting only three even numbers = 4 3 =4 Case IV : When selecting only four even numbers = 4 4 =1 Required number of ways =512-(4+6+4+1)-1=496 [Here, we subtract 1 for due to the null set]