document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279700>Question 279700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> P = (1 - 1/2)(1 - 1/3)(1 - 1/4)...(1 - 1/16)<BR>\n" );
document.write( "The three dots in the product above represent eleven missing factors of the form (1 - 1/n), where n represents all of the consecutive integers from 5 to 15, inclusive.  What is P equal to?\r<BR>\n" );
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document.write( "a. 1/16<BR>\n" );
document.write( "b. 1/2<BR>\n" );
document.write( "c. 7/8<BR>\n" );
document.write( "d. 15/16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203316 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=203316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P = (1 - 1/2)(1 - 1/3)(1 - 1/4)...(1 - 1/16)<BR>\n" );
document.write( "The three dots in the product above represent eleven missing factors of the form (1 - 1/n), where n represents all of the consecutive integers from 5 to 15, inclusive. What is P equal to? <BR>\n" );
document.write( "a. 1/16<BR>\n" );
document.write( "b. 1/2<BR>\n" );
document.write( "c. 7/8<BR>\n" );
document.write( "d. 15/16\r<BR>\n" );
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document.write( "P = (1 - 1/2)(1 - 1/3)(1 - 1/4)...(1 - 1/16)<BR>\n" );
document.write( "P = 1/1 * 1/2 * 2/3 * 3/4 * ... * 15/16<BR>\n" );
document.write( "so in numerator you have product of 1 through 15 times 1 which is still product of 1 through 15<BR>\n" );
document.write( "and in denominator you have product of through 16<BR>\n" );
document.write( "or P = 15! / 16!<BR>\n" );
document.write( "the 15! on top and bottom cancel out leaving<BR>\n" );
document.write( "P = 1/16\r<BR>\n" );
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document.write( "so answer is A. 1/16<BR>\n" );
document.write( " </SPAN>\n" );
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