The number of subsets is an illustration of combination
The set with 14 elements have 8192 subsets with an odd number of elements
How to determine the number of subsets?
The number of elements in the set is:
n = 14
The odd numbers less than or equal to 14 are:
Odd = 1, 3, 5, 7, 9, 11, 13
The number of subsets is then calculated as:
Subsets = 14C1 + 14C3 + 14C5 + 14C7 + 14C9 + 14C11 + 14C13
Evaluate the combination expressions
Subsets = 14 + 364 + 2002 + 3432 + 2002 + 364 + 14
Evaluate the sum
Subsets = 8192
Hence, the set with 14 elements have 8192 subsets with an odd number of elements
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