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. (seal}, {yak}, {goat), {seal, yak}, {seal, goat), (yak, goat), (seal, yak, goat)
The correct answer is:
C. (seal), {yak), {goat), (seal, yak}, {seal, goat}, {yak, goat}
To find all the subsets of a given set, we can use the method of combination. Given the set {seal, yak, goat}, we start by taking each element individually:
- Ø (the empty set)
- {seal}
- {yak}
- {goat}
Next, we take combinations of 2 elements:
- {seal, yak}
- {seal, goat}
- {yak, goat}
Lastly, we combine all 3 elements:
- {seal, yak, goat}
Therefore, the correct answer is:
O D. (seal}, {yak}, {goat), {seal, yak}, {seal, goat), (yak, goat), (seal, yak, goat)