Question 1154143
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The set contains 7 elements (Mon-Fri, Sat and Sun).


Every finite set containing "n" elements, has  N = {{{2^n}}} subsets, including the empty set and improper set.


In your case, n= 7  and  N = {{{2^7}}} = 128 subsets, including the empty set and improper set.


<U>ANSWER</U>.  {{{2^7}}} = 128 subsets, in all;  and 128-1 = 127 proper subsets.
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Dear visitor SYL !


If I remember correctly, I just solved very similar problem (TWIN problem) for you with full explanation several days ago.


Isn't it so ?


I even referred to my 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.


I did it with the only goal: to teach you.



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Hello again, SYL,

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I got your message / (comment).


Glad to see your progress (!)


Come again to the forum soon to learn something new (!)