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 answer is not D)
The correct answer is C. (seal), {yak), {goat), (seal, yak}, {seal, goat}, {yak, goat}
The correct answer is B. The subsets of the given set {(seal, yak, goat)} are:
Ø (empty set)
(seal)
(yak)
(goat)
(seal, yak)
(seal, goat)
(yak, goat)
To list all the subsets of a given set, we need to consider all possible combinations of elements from the set. The number of subsets can be obtained by taking the power set of the given set, which includes all possible combinations of elements.
The given set is {seal, yak, goat}.
To find the subsets, we can use the following steps:
1. Start with an empty set, which represents the empty subset (Ø).
2. Consider each element of the given set and generate new subsets by including or excluding that element.
Considering the given set, the subsets would be:
A. Ø, (seal), {yak}, {goat}, (seal, yak}, {seal, goat}, {yak, goat}, (seal, yak, goat) - This option includes all possible subsets, so it is the correct answer.
B. Ø, (seal), (yak}, {goat}, (seal, yak}, {seal, goat}, (yak, goat} - This option is missing the subset containing all three elements, (seal, yak, goat), so it is not the correct answer.
C. (seal), {yak}, {goat}, (seal, yak}, {seal, goat}, {yak, goat} - This option is missing the empty subset (Ø) and the subset containing all three elements, (seal, yak, goat), so it is not the correct answer.
D. (seal}, {yak}, {goat}, {seal, yak}, {seal, goat}, (yak, goat}, (seal, yak, goat) - Although this option is similar to option A, it is specifically mentioned in the question that the answer is not D.
Therefore, the correct answer is option A.