Calculate the number of subsets and the number of proper subsets for the set

Option C:
Number of subsets and number of proper subset is 64, 63
Solution:
Given set = {1, 3, 5, 7, 9, 11}
Number of elements in the set (n) = 6
Number of Subsets of a given Set:
If a set contains ‘n’ elements, then the number of subsets of the set is [tex]2^n[/tex].
Number of Subsets of a given Set = [tex]2^6=64[/tex]
Number of Proper Subsets of the Set:
If a set contains ‘n’ elements, then the number of proper subsets of the set is [tex]2^n-1[/tex].
Number of Proper Subsets of the Set = [tex]2^6-1=63[/tex]
Option C is the correct answer.
Hence number of subsets and number of proper subset is 64, 63.