document.write( "Question 1102983: 10Cr=20C(r+1) \n" ); document.write( "

Algebra.Com's Answer #721705 by math_helper(2461) $\"\"$ $\"About$

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10Cr=20C(r+1)
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\n" ); document.write( "\n" ); document.write( "This is an old one… and has no solution.\r
\n" ); document.write( "\n" ); document.write( " $\"+10Cr++%3C%3E+20C%28r%2B1%29+\"$ for all values of r. \r
\n" ); document.write( "\n" ); document.write( "There are only 11 values to check (after the first 6 it is pretty obvious
\n" ); document.write( "they can never be equal, but all 11 values are listed for completeness):\r
\n" ); document.write( "\n" ); document.write( " $\"+10C0+=+1++%3C%3E+20C1+=+20+\"$
\n" ); document.write( " $\"+10C1+=+10+%3C%3E+20C2+=+190+\"$
\n" ); document.write( " $\"+10C2+=+45+%3C%3E+20C3+=+1140+\"$
\n" ); document.write( " $\"+10C3+=+120+%3C%3E+20C4+=+4845+\"$
\n" ); document.write( " $\"+10C4+=+210+%3C%3E+20C5+=+15504+\"$
\n" ); document.write( " $\"+10C5+=+252+%3C%3E+20C6+=+38760+\"$
\n" ); document.write( " $\"+10C6+=+210+%3C%3E+20C7+=+77520+\"$
\n" ); document.write( " $\"+10C7+=+120+%3C%3E+20C8+=+125970+\"$
\n" ); document.write( " $\"+10C8+=+45+%3C%3E+20C9+=+167960+\"$
\n" ); document.write( " $\"+10C9+=+10+%3C%3E+20C10+=+184756+\"$
\n" ); document.write( " $\"+10C10+=+1+%3C%3E+20C11+=+167960+\"$
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