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List all the subsets of each set ( 5,10,15)

User Ska
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2 Answers

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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}
User Chocospaz
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6 votes
The subsets are sets belonging to the set.
One is multiples of 5.
Another is factors of 750.
There are many many subsets, so it is impossible to list all of them.
Hope this helps!
User Ruuska
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