Question 1153949
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I will give the solution for the first set, where the meaning is clear.


<pre>

The set contains 4 integer numbers 1,2,3,4.


Hence, the number of all subsets is {{{2^4}}} = 16.


Exclusing one improper subset, you obtain 16-1 = 15 proper subsets.    <U>ANSWER</U>
</pre>


See the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/misc/Counting-elements-in-sub-sets-of-a-given-finite-set.lesson>Counting elements in sub-sets of a given finite set</A>

in this site.



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For the second "set", the meaning is dark, so I even will not touch it.