The total number of subsets of given set is 29=512 Case I When selecting only one even number {2,4,6,8} Number of ways =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]