A) 324
B) 396
C) 496
D) 512
Correct Answer: C
Solution :
The total number of subsets of given set is \[{{2}^{9}}=512\] Case I When selecting only one even number\[\{2,\,\,4,\,\,6,\,\,8\}\] Number of ways\[{{=}^{4}}{{C}_{1}}=4\] Case II When selecting only two even numbers \[{{=}^{4}}{{C}_{2}}=6\] Case III When selecting only three even numbers \[{{=}^{4}}{{C}_{3}}=4\] Case IV When selecting only four even numbers \[{{=}^{4}}{{C}_{4}}=1\] \[\therefore \]Required number of ways \[=512-(4+6+4+1)-1\] \[=496\] [Here, we subtract 1 for due to the null set]
You need to login to perform this action.
You will be redirected in
3 sec
