Final answer:
To find all the subsets of the set {5, 10, 15}, use binary representation and create subsets based on including or excluding each element.
Step-by-step explanation:
To find all the subsets of the set {5, 10, 15}, we can use the concept of binary representation. There are 2^3 (2 raised to the power of 3) subsets in total. Each subset can be represented by a binary number of length 3, where 1 indicates that the element is included and 0 indicates that it is not included.
So, the subsets of {5, 10, 15} are:
- {}
- {5}
- {10}
- {15}
- {5, 10}
- {5, 15}
- {10, 15}
- {5, 10, 15}