A) 324
B) 396
C) 496
D) 512
Correct Answer: C
Solution :
The total number of subsets of given set is \[{{2}^{9}}=512\] Even numbers are {2, 4, 6, 8}. Case I When selecting only one even number. \[={}^{4}{{C}_{1}}=4\] 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 \[=512-\left( 4+6+4+1 \right)-1\] \[=496\] [Here, we subtract 1 for due to the null set]
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