document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100381>Question 1100381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in how many different ways can a person gathering data for a market research organization select three of the 20 households living in a certain apartment complex if:<BR>\n" );
document.write( "a)	A person care about the order in which the households are selected.<BR>\n" );
document.write( "b)	A person does not care about the order in which the households are selected.<BR>\n" );
document.write( "c)	In how many ways can two paintings by Monet, three paintings by Renoir , and two paintings by Degas be hung side by side on a museum wall if do not distinguish between the paintings by the same artists?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715071 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> in how many different ways can a person gathering data for a market research organization select three of the 20 households living in a certain apartment complex if:<BR>\n" );
document.write( "a)	A person cares about the order in which the households are selected.<BR>\n" );
document.write( "20P3 = 20!/(20-3)! = 20!/17! = 20*19*17 = 6840 ways<BR>\n" );
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document.write( "b)	A person does not care about the order in which the households are selected.<BR>\n" );
document.write( "20C3 = 20!/[17!*3!] = (20*19*18)/(1*2*3) = 1140<BR>\n" );
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document.write( "c)	In how many ways can two paintings by Monet, three paintings by Renoir , and two paintings by Degas be hung side by side on a museum wall if do not distinguish between the paintings by the same artists?<BR>\n" );
document.write( "Ans:: 7!/(2!*3!*2!) = 210<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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