VITEEE 2009 Paper

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 = 4C1=4
Case II : When selecting only two even numbers = 4C2=6
Case III : When selecting only three even numbers = 4C3=4
Case IV : When selecting only four even numbers = 4C4=1
∴ Required number of ways = 512 - (4 + 6 + 4 + 1) - 1 = 496
[Here, we subtract 1 for due to the null set.]