document.write( "Question 1035206: Let S be a set with eleven elements. How many 4 element subsets does S have? How many ordered triples (x,y,z) are there belonging to S x S x S such that no two of x, y, and z are equal? Give answers in terms of combination symbols or products (no arithmetic) \n" ); document.write( "

Algebra.Com's Answer #649892 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Let S be a set with eleven elements. How many 4 element subsets does S have? How many ordered triples (x,y,z) are there
\n" ); document.write( "belonging to S x S x S such that no two of x, y, and z are equal? Give answers in terms of combination symbols or products (no arithmetic)
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\n" ); document.write( "\n" ); document.write( "1. How many 4 element subsets does S have?\r
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document.write( "   Answer.  =  = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "2. How many ordered triples (x,y,z) are there belonging to S x S x S such that no two of x, y, and z are equal?\r
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document.write( "   Hint:\r\n" );
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document.write( "       First calculate the total number of elements in S x S x S. \r\n" );
document.write( "       It is .\r\n" );
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document.write( "       Next, calculate the number of triples (x,y,z), where at least two of three elements x, y and/or z are identical.\r\n" );
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document.write( "       Avoid calculating the same triples twice!\r\n" );
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document.write( "       Then distract the second number from the first.\r\n" );
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