Question

List all the possible subsets of Set H = { 4,3,6,5}

Answer 1

Given Set H:

`H=\lbrace4,3,6,5\rbrace`

You can find the number of subsets the set has by using this formula:

`Number\text{ }of\text{ }subsets=2^n`

Where "n" is the number of elements the set has.

In this case:

`n=4`

Then:

`Number\text{ }of\text{ }subsets=2^4=16`

By definition, given a set:

`\lbrace a,b\rbrace`

Its subsets are:

`\lbrace a\rbrace,\lbrace b\rbrace,\lbrace\phi\rbrace,\lbrace a,b\rbrace`

Therefore, in this case, you can determine that the possible subsets of the given set are:

Hence, the answer is: