List all the subsets of the given set.
(seal, yak, goat}
Choose the correct answer below.
O A. Ø, (seal), {yak}, {goat), (seal, yak}, {seal, goat), {yak, goat), (seal, yak, goat}
O B. Ø, (seal), (yak}, {goat), (seal, yak}, {seal, goat), (yak, goat}
O C. (seal), {yak), {goat), (seal, yak}, {seal, goat}, {yak, goat}
O D. (seal}, {yak}, {goat), {seal, yak}, {seal, goat), (yak, goat), (seal, yak, goat)
The correct answer is D.
The subsets of the given set {seal, yak, goat} are:
- Ø (empty set)
- {seal}
- {yak}
- {goat}
- {seal, yak}
- {seal, goat}
- {yak, goat}
- {seal, yak, goat}
So the correct answer is (seal}, {yak}, {goat}, {seal, yak}, {seal, goat), {yak, goat}, {seal, yak, goat}.
To list all the subsets of a given set, you need to consider all possible combinations of the elements in the set.
In this case, the given set is {seal, yak, goat}.
To find all the subsets, you can follow these steps:
1. Start with an empty set, which represents the empty subset: Ø
2. List all the individual elements as subsets: (seal), (yak), (goat)
3. List all possible subsets of size 2. This means you need to choose two elements from the given set and form subsets from them. Here are the possible combinations:
- (seal, yak)
- (seal, goat)
- (yak, goat)
4. Finally, list the subset with all three elements: (seal, yak, goat)
Now, let's compare the options provided:
A. Ø, (seal), {yak}, {goat), (seal, yak}, {seal, goat), {yak, goat}, (seal, yak, goat)
B. Ø, (seal), (yak}, {goat), (seal, yak}, {seal, goat), (yak, goat}
C. (seal), {yak), {goat), (seal, yak}, {seal, goat}, {yak, goat}
D. (seal}, {yak}, {goat), {seal, yak}, {seal, goat), (yak, goat), (seal, yak, goat)
Among the options, option D is correct. It lists all the subsets of the given set.
The correct answer is:
O D. (seal}, {yak}, {goat), {seal, yak}, {seal, goat), {yak, goat}, (seal, yak, goat)