Question 1089201
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2 element set ====> the number of subsets is {{{2^2}}} = 4:

1)  empty subset;

2)  subset consisting only one element {a};

3)  subset consisting only one element {m};

4)  subset consisting two elements {a,m}.
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For the general case of a finite set consisting of "n" elements 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.