document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144558>Question 144558</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780618768363/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Lets say that a family of 5 decides that instead of each person buying a present for each other person in the family, all the family members will put their names in a hat.  Each person then takes one name out of the hat & buys a present for that person.  What is the probability of every family member getting his or her own name? \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 #105362 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=105362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets say that a family of 5 decides that instead of each person buying a present for each other person in the family, all the family members will put their names in a hat. Each person then takes one name out of the hat & buys a present for that person. What is the probability of every family member getting his or her own name? <BR>\n" );
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document.write( "Ans. if names are replaced: (1/5)^5 = 0.00032<BR>\n" );
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document.write( "Answers if names are not replaced : (1/5)(1/4)(!/3)(1/2)(1/1) = 1/5! = 0.00833...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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