Question 1119364
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The number under the question = the number of all non-empty sub-sets of the set of 5 elements.


<U>Answer</U>.  In {{{2^5 - 1}}} = 32-1 = 31 way.
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The solution uses well known fact that the total number of subsets of a given set of N elements is {{{2^N}}}, including the empty subset and improper subset.


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>

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