document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=520478>Question 520478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me to understand if I am doing this correctly?\r<BR>\n" );
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document.write( "1.In how many ways can 4 girls and 3 boys be seated ina  row if boys cannot sit together and girls cannot sit together? 4*3=12?\r<BR>\n" );
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document.write( "2.In how many ways can 4 girls and 3 boys be seated in a row if girls must sit in the end seats? 4!*3!=144?\r<BR>\n" );
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document.write( "3.In how many ways can 4 girls and 3 boys be seated in a row if girls muct sit with girls and boys must sit with boys? 4*3=12?\r<BR>\n" );
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document.write( "4.A driver is going from Natchitoches, LA to El Dorado, Arkansas by way of Shreveport. How many different routes can the driver make on their trip if they have 3 different routes from Natichtoches to Shreveport and five different routes from Shreveport to Eldorado?\r<BR>\n" );
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document.write( "Thanks, <BR>\n" );
document.write( "Rebecca </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #346092 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=346092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.In how many ways can 4 girls and 3 boys be seated ina row if boys cannot sit together and girls cannot sit together? <BR>\n" );
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document.write( "The 4 girls would have to be on both ends and the 3 boys interspaced.<BR>\n" );
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document.write( "# of arrangements: 4!*3! = 144 <BR>\n" );
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document.write( "2.In how many ways can 4 girls and 3 boys be seated in a row if girls must sit in the end seats? <BR>\n" );
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document.write( "# of ways to fill the end seats: 4*3 = 12<BR>\n" );
document.write( "# of ways to fill the other 5 seats: 5!<BR>\n" );
document.write( "# of arrangements: 12*5! = 1440<BR>\n" );
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document.write( "3.In how many ways can 4 girls and 3 boys be seated in a row if girls muct sit with girls and boys must sit with boys? <BR>\n" );
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document.write( "You have 2 blocks to arrange: 2 ways<BR>\n" );
document.write( "Girl block arrangements = 4! = 24<BR>\n" );
document.write( "Boy block arrangements = 3! = 6<BR>\n" );
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document.write( "# of arrangements: 2*24*6 = 288<BR>\n" );
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document.write( "4.A driver is going from Natchitoches, LA to El Dorado, Arkansas by way of Shreveport. How many different routes can the driver make on their trip if they have 3 different routes from Natichtoches to Shreveport and five different routes from Shreveport to Eldorado?<BR>\n" );
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document.write( "# of routes: 3*5 = 15<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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