document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181377>Question 1181377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A soda machine services must restock and collect money from 15 machines, each one at a different location.  How many ways can she select four machines to service in one day? <BR>\n" );
document.write( "A beachfront candy store allows customers to select 3 different candies to be packaged and mailed.  If there are 10 varieties available, how many possible selections can be made? \r<BR>\n" );
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document.write( "A professional glam squad stylist has one of three nail-polish colors, one of five lipstick shades, and one of four blush shades, how many different combinations can she make? \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 #811271 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52856)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "(a) A soda machine services must restock and collect money from 15 machines, each one at a different location.  <BR>\n" );
document.write( "    How many ways can she select four machines to service in one day? \r<BR>\n" );
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document.write( "(b) A beachfront candy store allows customers to select 3 different candies to be packaged and mailed.  <BR>\n" );
document.write( "    If there are 10 varieties available, how many possible selections can be made? \r<BR>\n" );
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document.write( "(c) A professional glam squad stylist has one of three nail-polish colors, one of five lipstick shades, <BR>\n" );
document.write( "    and one of four blush shades, how many different combinations can she make? <BR>\n" );
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document.write( "Of the three posted problems, I will solve only two, (b) and (c)\r<BR>\n" );
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document.write( "(b)  10*9*8 = 720 possible selections.        <U>ANSWER</U>\r\n" );
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document.write( "     The product of 3 consecutive integer numbers, starting from 10 in descending order.\r\n" );
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document.write( "(c)  3*5*4 = 60  different combinations.      <U>ANSWER</U>\r\n" );
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document.write( "     Fundamental counting principle.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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