document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193129>Question 1193129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5 objects, without replacement, from 18 distinct objects <BR>\n" );
document.write( "If the order is relevant, how many ways can this be done? <BR>\n" );
document.write( "If the order is not relevant, how many ways can this be done?  </SPAN>\n" );
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document.write( "(1) If order is important, then it is a permutation.<br><BR>\n" );
document.write( "5 objects, selected IN ORDER from 18 objects:<BR>\n" );
document.write( "18 choices for the first;<BR>\n" );
document.write( "17 choices for the second;<BR>\n" );
document.write( "...<BR>\n" );
document.write( "14 choices for the last<br><BR>\n" );
document.write( "ANSWER: 18P5 = 18*17*16*15*14 (you can do the calculation....)<br><BR>\n" );
document.write( "(2) If order is not important, then it is a combination.<br><BR>\n" );
document.write( "There are 18*17*16*15*14 different orders in which you can choose 5 of the 18 objects.<br><BR>\n" );
document.write( "Any group of 5 that you select could have been chosen in 5*4*3*2*1 different orders.  So the number of distinct combinations of 5 of the 18 objects is the number of permutations, divided by the number of different orders in which those 5 objects could have been chosen.<br><BR>\n" );
document.write( "ANSWER: 18C5 = (18*17*16*15*14)/(5*4*3*2*1) (again I leave the calculation to you)<br><BR>\n" );
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