list all the subsets of the given set. {parakeet, bison, cow}
To find all the subsets of a given set, you can use the power set concept. The power set of a set is the set of all its subsets, including the empty set and the set itself.
Let's find the subsets of the set {parakeet, bison, cow} step by step:
1. Start with an empty set: {}
This represents the empty subset.
2. Include the first element, parakeet: {parakeet}
This represents a subset with only the element parakeet.
3. Include the second element, bison: {bison}
This represents a subset with only the element bison.
4. Include the third element, cow: {cow}
This represents a subset with only the element cow.
5. Include the first and second elements: {parakeet, bison}
This represents a subset with parakeet and bison.
6. Include the first and third elements: {parakeet, cow}
This represents a subset with parakeet and cow.
7. Include the second and third elements: {bison, cow}
This represents a subset with bison and cow.
8. Include all three elements: {parakeet, bison, cow}
This represents the original set itself.
Therefore, the subsets of the given set {parakeet, bison, cow} are:
{}, {parakeet}, {bison}, {cow}, {parakeet, bison}, {parakeet, cow}, {bison, cow}, {parakeet, bison, cow}.