document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325063>Question 325063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I cannot seem to figure out how this problem is worked. Any help is appreciated. I Know the answer is 1/56 but I don't have a clue at the moment how that can be.<BR>\n" );
document.write( "Here is the problem:\r<BR>\n" );
document.write( "\n" );
document.write( "In a certain lottery, 3 different numbers between 1 and 8 inclusive are drawn at random. These are the winning number. If you choose 3 different numbers at random between 1 and 8, what is the probability you will match the winning numbers? Assume that the order of the numbers is unimportant.\r<BR>\n" );
document.write( "\n" );
document.write( "Answer: 1/56 ---- I need help getting this answer. I have tried evrything I can think of. 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 #232771 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=232771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since order is not important, we use combinations.\r<BR>\n" );
document.write( "\n" );
document.write( "C(8,3)=8!/(3!*5!)=56. There are 56 ways to choose 3 items from 8.\r<BR>\n" );
document.write( "\n" );
document.write( "Thus, the probability is 1/56.\r<BR>\n" );
document.write( "\n" );
document.write( "Another way. Since there is no replacement, we have 3 choices out of 8 for the first number, 2 choices out of 7 for the second, and 1 choice out of 6 for the third. \r<BR>\n" );
document.write( "\n" );
document.write( "(3/8)(2/7)(1/6)=1/56\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );