Question 1116290
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<pre>
Well known fact is that the finite set consisting of N elements,  has exactly  {{{2^N}}} subsets of the type described in the condition.


The given set has 7 elements;  Hence, the number of all subsets is  {{{2^7}}} = 128.


<U>Answer</U>.  The number of all subsets is  {{{2^7}}} = 128.
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&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>

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