Question 1144422
.


The formulation in your post is totally incorrect.


The correct formulation is THIS:


<pre>
    If the set consists of 7 elements a, b, c, d, e, f, g, how many subsets does it have ?
</pre>


The answer is  &nbsp;&nbsp;{{{2^7}}} = 128.



<U>HINT</U>.  &nbsp;&nbsp;The general fact is


<pre>
    If the finite set consists of n elements, then the number of all its subsets is  {{{2^n}}}.
</pre>

If you want more details, see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/misc/How-many-subsets-are-there-in-a-given-finite-set-of-n-elements.lesson>How many subsets are there in a given finite set of n elements?</A>

in this site.