document.write( "Question 759137: Is there exactly 16 subsets and 24 subsets? If no, why? \n" ); document.write( "

Algebra.Com's Answer #461920 by reviewermath(1029) $\"\"$ $\"About$

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Q:
\n" ); document.write( "Is there exactly 16 subsets and 24 subsets? If no, why?
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\n" ); document.write( "A:
\n" ); document.write( "If a set has n elements, then the number of subsets is equal to $\"2%5En\"$ .
\n" ); document.write( "If a set has exactly 16 subsets, then $\"2%5En\"$ = 16 --> n = 4 (number of elements in a set). Therefore, a set can have exactly 16 subsets.
\n" ); document.write( "If a set has exactly 24 subsets, then $\"2%5En\"$ = 24 --> n = no solution in the set of non-negative integers. Therefore, a set cannot have exactly 24 subsets. \n" ); document.write( "

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