document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203663>Question 1203663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shipment of 105 laptops contains 5 defective laptops. A quality control specialist chooses a sample of 10 laptops from the shipment.\r<BR>\n" );
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document.write( "How many possible choices of 10 laptops can be made?<BR>\n" );
document.write( "How many of these possible selections will not contain any defective laptops?  \r<BR>\n" );
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document.write( "How many of the possible selections will contain at least one defective laptop?  \r<BR>\n" );
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document.write( "How many of the possible selections will contain exactly one defective laptop?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839415 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52800)</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=839415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A shipment of 105 laptops contains 5 defective laptops. A quality control specialist chooses a sample of 10 laptops from the shipment.<BR>\n" );
document.write( "(a) How many possible choices of 10 laptops can be made?<BR>\n" );
document.write( "(b) How many of these possible selections will not contain any defective laptops?<BR>\n" );
document.write( "(c) How many of the possible selections will contain at least one defective laptop?<BR>\n" );
document.write( "(d) How many of the possible selections will contain exactly one defective laptop?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In the post by @MathLover1, &nbsp;the solutions, &nbsp;the numbers and the answers <BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;to &nbsp;(b), &nbsp;(c) &nbsp;and &nbsp;(d) &nbsp;are incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct solution.\r<BR>\n" );
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document.write( "(a)   How many possible choices of 10 laptops can be made?\r\n" );
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document.write( "          C(105,10)  = 28848458598960.\r\n" );
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document.write( "(b)   How many of these possible selections will not contain any defective laptops?\r\n" );
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document.write( "          C((105-5),10) = C(100,10) = 17310309456440.\r\n" );
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document.write( "      It is the number of all possible combinations of 10 laptops from 105-5 = 100 good laptops.\r\n" );
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document.write( "(c)   How many of the possible selections will contain at least one defective laptop?\r\n" );
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document.write( "           C(105,10)  - C(100,10) = 28848458598960 - 17310309456440 = 11538149142520.\r\n" );
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document.write( "       From the total number of all possible combinations of 10 laptops from 105 laptops, \r\n" );
document.write( "       we subtract the number of all possible combinations of 10 laptops from 105-5 = 100 good laptops.\r\n" );
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document.write( "(d)    How many of the possible selections will contain exactly one defective laptop?\r\n" );
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document.write( "           C(5,1)*C(100,9) = 5*1902231808400 = 9511159042000.\r\n" );
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document.write( "       In this assignment, we combine 1 defective laptop from 5 defectives laptops\r\n" );
document.write( "       with 9 good laptops from 105-5 = 100 good laptops.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved (correctly).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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