Question

Write out the POWER SET. Keep in mind a subset can be made of any combination of elements appearing in the original set (provided it’s a UNIQUE combination).

{2,4,8}

Answer 1

The power set of {2, 4, 8} includes all possible subsets of the original set.

Step-by-step explanation:

The power set of a set is the set of all possible subsets of the original set. To find the power set of {2, 4, 8}, we need to consider all the unique combinations of the elements.

To find the power set, we can start by listing all the individual elements: {}, {2}, {4}, {8}.

Next, we can consider all the combinations of two elements: {2, 4}, {2, 8}, and {4, 8}.

Then, we consider the combinations of three elements: {2, 4, 8}.

Finally, we include the original set itself: {2, 4, 8}.

So, the power set of {2, 4, 8} is: {}, {2}, {4}, {8}, {2, 4}, {2, 8}, {4, 8}, {2, 4, 8}.