document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253885>Question 253885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with the following question?\r<BR>\n" );
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document.write( "A doctor visits 5 people by bus once a day.  He can use either of two buses, but once he starts out he visits all 5 people in the .<BR>\n" );
document.write( "same order before returning home.  How many possibilities are there?<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186225 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=186225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since order matters, he has 5 choices for the first patient, 4 for the second (since he can't see the same person twice), 3 for the third, 2 for the fourth, and one for the fifth.\r<BR>\n" );
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document.write( "Multiply these choices out to get 5*4*3*2*1=120\r<BR>\n" );
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document.write( "So there are 120 different possibilities. \r<BR>\n" );
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document.write( "Alternatively, you can use the permutation formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28n%2Cr%29=n%21%2F%28n-r%29%21 ALIGN=MIDDLE  ALT=\"P%28n%2Cr%29=n%21%2F%28n-r%29%21\"   DISABLED_style= \"max-width:90%; height:auto;\" > with n=5 and r=5 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%285%2C5%29=5%21%2F%285-5%29%21=5%21%2F0%21=%285%2A4%2A3%2A2%2A1%29%2F1=120%2F1=120 ALIGN=MIDDLE  ALT=\"P%285%2C5%29=5%21%2F%285-5%29%21=5%21%2F0%21=%285%2A4%2A3%2A2%2A1%29%2F1=120%2F1=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you'll get the same answer </SPAN>\n" );
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