document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183178>Question 1183178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sportswriter makes his pre-season picks for the top ten teams finish. If there are forty teams, how many different lists could there be? </SPAN>\n" );
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document.write( "It's not clear from the statement of the problem whether the list is ordered 1st through 10th, or if it is an unordered list of the top 10 teams.<br><BR>\n" );
document.write( "It is probably an ordered list, which means the problem is about permutations.  In that case the number of possible different lists is<br><BR>\n" );
document.write( "P(40,10) = 40*39*38*...*32*31 = (large number)<br><BR>\n" );
document.write( "If the list is not ordered, then the problem is about combinations; in that case the number of possible different lists is<br><BR>\n" );
document.write( "C(40,10) = (40*39*38*...*32*31)/(10*9*8*...*2*1) = 847660528<br><BR>\n" );
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