Final answer:
The set a = {3, 6, 7} has 8 subsets, which include the empty set, single-element subsets, two-element subsets, and the set itself.
Step-by-step explanation:
The question asks us to list all the subsets of the set a = {3, 6, 7}. A subset is a set that contains zero or more elements of another set. Since there are three elements in set a, we will have a total of 23 or 8 possible subsets, including the empty set and the set itself. Here is the list of all subsets:
- {} (the empty set)
- {3}
- {6}
- {7}
- {3, 6}
- {3, 7}
- {6, 7}
- {3, 6, 7}
It's essential to remember that sets are unordered, and the subsets could be listed in any order.