document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973158>Question 973158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I roll five fair dices numbered from 1 to 6, I know that the different combinations for them (from 1,1,1,1,1 , 1,1,1,1,2 , 1,1,1,1,3 .... upto 6,6,6,6,6) is 7776 (6^5). However, in the game Yahtzee, it is said that you only consider distinct results (which means that 1,3,1,4,5 is the same as 5,1,4,3,1). The number of distinct combinations for rolling 5 dices is 252. So, there's the answer! My question is, how do you mathematically solve this? What are the steps involved? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595398 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=595398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You will use the formula\r<BR>\n" );
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document.write( "as explained <a  rel=nofollow HREF=\"https://www.mathsisfun.com/combinatorics/combinations-permutations.html\">here</a> (scroll to the bottom. It's the section right above where it says \"In Conclusion\")\r<BR>\n" );
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document.write( "In this case, n = 6, r = 5, so...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=252 ALIGN=MIDDLE  ALT=\"252\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n%2Br-1%29%21%29%2F%28r%21%28n-1%29%21%29=252 ALIGN=MIDDLE  ALT=\"%28%28n%2Br-1%29%21%29%2F%28r%21%28n-1%29%21%29=252\"   DISABLED_style= \"max-width:90%; height:auto;\" > when n = 6, r = 5 </SPAN>\n" );
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