document.write( "Question 861871: Seven matrons assembled for a meeting,shake hands with one another. How many handshakes take place? \n" ); document.write( "
Algebra.Com's Answer #519362 by richwmiller(17219)\"\" \"About 
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C(7,2)
\n" ); document.write( "7*6/2=42/2=21
\n" ); document.write( "2 people
\n" ); document.write( "1 handshake ab =ba c(2,2)=1
\n" ); document.write( "3 people
\n" ); document.write( "c(3,2)=ab=ba bc=cb ac =ca 3*2/2=3
\n" ); document.write( "4 people
\n" ); document.write( "c(4,2) 4*3/2=6
\n" ); document.write( "ab=ba bc=cb ac=ca ad=da bd=db cd=dc
\n" ); document.write( "5 people
\n" ); document.write( "c(5,2) 5*4/2=10
\n" ); document.write( "ab=ba bc=cb ac=ca ad=da bd=db cd=dc ae=ea be=eb ce=ec de=ed
\n" ); document.write( "6 people
\n" ); document.write( "c(6,2) 6*5/2=15
\n" ); document.write( "ab=ba bc=cb ac=ca ad=da bd=db cd=dc ae=ea be=eb ce=ec de=ed
\n" ); document.write( "af=fa bf=fb cf=fc df=fd ef=fe\r
\n" ); document.write( "\n" ); document.write( "7 people
\n" ); document.write( "c(7,2) 7*6/2=21
\n" ); document.write( "ab=ba bc=cb ac=ca ad=da bd=db cd=dc ae=ea be=eb ce=ec de=ed
\n" ); document.write( "af=fa bf=fb cf=fc df=fd ef=fe ag=ga bg=gb cg=gc dg=gd eg=ge fg=gf
\n" ); document.write( "that is it for 7 matrons
\n" ); document.write( " 21 handshakes no more no less\r
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