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)
(and it’s not D)
The correct answer is C.
The subsets of the set {seal, yak, goat} are:
- {seal}
- {yak}
- {goat}
- {seal, yak}
- {seal, goat}
- {yak, goat}
The correct answer is A. Ø, (seal), {yak}, {goat}, (seal, yak}, {seal, goat}, {yak, goat}, (seal, yak, goat).
To list all the subsets of a given set, we can follow these steps:
1. Start with the empty set, represented by the symbol Ø.
2. Write down each individual element of the set as separate subsets. In this case, we have three elements: seal, yak, and goat. So, we add {seal}, {yak}, and {goat} to our list.
3. Combine two elements at a time and write down the resulting subsets. Here, we have three possible combinations: (seal, yak), (seal, goat), and (yak, goat).
4. Finally, include the entire set itself as a subset, which is (seal, yak, goat).
Now, let's compare the given options to find the correct answer:
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)
Based on the given information that the correct answer is not D, we can eliminate option D.
Comparing the remaining options, we find that option C contains all the correct subsets: (seal), {yak}, {goat}, (seal, yak}, {seal, goat}, {yak, goat}. Therefore, the answer is option C.
Final Answer: C. (seal), {yak}, {goat}, (seal, yak}, {seal, goat}, {yak, goat}