List all the subsets of the given set. (wolverine, pig, hare} Choose the correct answer below. OA. (wolverine), (pig), {hare}, {wolverine, pig}, {wolverine, hare}, {pig, hare} B. Ø, (wolverine}, {pig}, {hare}, {wolverine, pig}, {wolverine, hare}, {pig, hare} O C. Ø, (wolverine), {pig}, {hare}, {wolverine, pig}, {wolverine, hare}, {pig, hare}, {wolverine, pig, hare} D. (wolverine), {pig}, {hare}, {wolverine, pig}, {wolverine, hare}, {pig, hare}, {wolverine, pig, hare}
C. Ø, (wolverine), {pig}, {hare}, {wolverine, pig}, {wolverine, hare}, {pig, hare}, {wolverine, pig, hare}
The correct answer is D. (wolverine), {pig}, {hare}, {wolverine, pig}, {wolverine, hare}, {pig, hare}, {wolverine, pig, hare}.
To find all the subsets of a given set, we can use the power set method.
Power set method:
1. Start with an empty set (represented as Ø).
2. For each element in the given set, create new subsets by combining the element with existing subsets.
3. Include the new subsets and the existing subsets in the power set.
4. Repeat steps 2 and 3 until all elements have been considered.
Let's apply this method to the given set {wolverine, pig, hare}:
Start with an empty set Ø:
Ø
Consider the first element, wolverine:
Add wolverine to the existing subsets:
Ø, {wolverine}
Consider the second element, pig:
Add pig to the existing subsets:
Ø, {wolverine}, {pig}, {wolverine, pig}
Consider the third element, hare:
Add hare to the existing subsets:
Ø, {wolverine}, {pig}, {wolverine, pig}, {hare}, {wolverine, hare}, {pig, hare}, {wolverine, pig, hare}
Therefore, the correct answer is Option D:
(wolverine), {pig}, {hare}, {wolverine, pig}, {wolverine, hare}, {pig, hare}, {wolverine, pig, hare}