document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031373>Question 1031373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 4-person grievance committee is to be selected out of 2 <BR>\n" );
document.write( "departments, A and B, with 18 and 20 people. In how many <BR>\n" );
document.write( "ways can the following committees be selected.\r<BR>\n" );
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document.write( "A) 3 from A and 1 from B\r<BR>\n" );
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document.write( "B) 2 from A and 2 from B\r<BR>\n" );
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document.write( "C) All from A\r<BR>\n" );
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document.write( "D) 4 people regardless of department\r<BR>\n" );
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document.write( "E) at least 3 from department A. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646076 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20055)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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/cgi-bin/show-face.mpl?user=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A 4-person grievance committee is to be selected out of 2 <BR>\n" );
document.write( "departments, A and B, with 18 and 20 people. In how many <BR>\n" );
document.write( "ways can the following committees be selected. <BR>\n" );
document.write( "A) 3 from A and 1 from B <BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><b>\r\n" );
document.write( "\"and\" means to multiply\r\n" );
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document.write( "So that's (18 people choose 3) times (20 people choose 1) =\r\n" );
document.write( "(18C3)(20C1) = (816)(20) = 16320\r\n" );
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document.write( "B) 2 from A and 2 from B <BR>\n" );
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document.write( "\"and\" means to multiply\r\n" );
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document.write( "So that's (18 people choose 2) times (20 people choose 2) =\r\n" );
document.write( "(18C2)(20C2) = (153)(190) = 29070\r\n" );
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document.write( "C) All from A <BR>\n" );
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document.write( "That's 18 people choose 4 = 18C4 = 3060\r\n" );
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document.write( "D) 4 people regardless of department<BR>\n" );
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document.write( "That's 18+20 or 38 people choose 4 = 38C4 = 73815\r\n" );
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document.write( "E) at least 3 from department A.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Choose 3 from department A and choose 1 from department B  \r\n" );
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document.write( "or\r\n" );
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document.write( "Choose 4 all from department A\r\n" );
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document.write( "\"And\" means to multiply and \"or\" means to add.\r\n" );
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document.write( "That's\r\n" );
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document.write( "[(18 people choose 3) times (20 people choose 1)] plus \r\n" );
document.write( "(18 people choose 4) =\r\n" );
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document.write( "(18C3)(20C1) + (18C4) = (816)(20) + 3060 = 19380\r\n" );
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document.write( "Edwin</PRE></b>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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