■ Counting Subsets These exercises involve counting subsets.
Subsets A set has eight elements.
(a) How many subsets containing five elements does this set have?
(b) How many subsets does this set have?
The number of subsets containing five elements.
The set has elements. The subsets have elements.
The number of combinations of objects taken at a time is,
The number of combinations of elements taken at a time is calculated as follows.
Substitute and in the equation .
The total number of subsets of the sets.
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