document.write( "Question 162668: can someone help me with this\r
\n" ); document.write( "\n" ); document.write( "Find the number of subsets of the set.\r
\n" ); document.write( "\n" ); document.write( "{13,14,15}\r
\n" ); document.write( "\n" ); document.write( "a. 6
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\n" ); document.write( "c. 3
\n" ); document.write( "d. 7
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Algebra.Com's Answer #119880 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
can someone help me with this
\n" ); document.write( "Find the number of subsets of the set.
\n" ); document.write( "{13,14,15}
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\n" ); document.write( "b. 8
\n" ); document.write( "c. 3
\n" ); document.write( "d. 7
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document.write( "Suppose you had three pieces of paper in a bag. One piece of paper has\r\n" );
document.write( "13 written on it, one has 14 written on it, and one has 15 written on it.\"\r\n" );
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document.write( "You reach in the bag.  Then withdraw your hand. List all the possibilities\r\n" );
document.write( "of what you could have in your hand when you draw it out:\r\n" );
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document.write( "Just list them all:\r\n" );
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document.write( "1. {13,14,15}  You could end up with all three pieces of paper in your hand.\r\n" );
document.write( "2. (13,14}     You could end up with just the 13 and 14 in your hand with the\r\n" );
document.write( "               15 still in the bag. \r\n" );
document.write( "3. (13,15}     You could end up with just the 13 and 15 in your hand with the\r\n" );
document.write( "               14 still in the bag.\r\n" );
document.write( "4. (14,15}     You could end up with just the 14 and 15 in your hand with the\r\n" );
document.write( "               13 still in the bag.\r\n" );
document.write( "5. (13}        You could end up with just the 13 in your hand with the\r\n" );
document.write( "               14 and 15 still in the bag.\r\n" );
document.write( "6. (14}        You could end up with just the 14 in your hand with the\r\n" );
document.write( "               13 and 15 still in the bag.\r\n" );
document.write( "7. (15}        You could end up with just the 15 in your hand with the\r\n" );
document.write( "               13 and 14 still in the bag.\r\n" );
document.write( "8. { }         You could end up with nothing in your hand with all three\r\n" );
document.write( "               numbers still in the bag.\r\n" );
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document.write( "The formula is:  If there are N elements (members) in the set, the \r\n" );
document.write( "number of subsets is always \"2%5EN\".  So in the case where there are 3\r\n" );
document.write( "elements (members) in the set, the number of subsets is \"2%5E3=2%2A2%2A2=8\".\r\n" );
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document.write( "When making a subset, there are always two choices for each element:\r\n" );
document.write( "1. Put it in the subset.\r\n" );
document.write( "2. Don't put it in the subset.\r\n" );
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document.write( "So when making a subset, you have exactly 2 choices with every element \r\n" );
document.write( "of the set.\r\n" );
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document.write( "You have those 2 choices for the 13, then those 2 choices for the 14, \r\n" );
document.write( "and finally those 2 choices for the 15.  So that's 2x2x2 = 8. \r\n" );
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document.write( "Any way you do it, you get 8, which is answer (b) above.\r\n" );
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document.write( "Edwin
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