document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157461>Question 1157461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In how many ways can Al, Bob, Carol, Don, Ed, Faye, and George be seated in a row of seven seats so that Al, Bob, and Carol occupy consecutive seats in some order? </SPAN>\n" );
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document.write( "(1) Put Al, Bob, and Carol together in a group.  Within that group there are 3!=6 ways to arrange the three of them.<br><BR>\n" );
document.write( "(2) Treating those 3 as a group, we now have 5 things to arrange in a line.  The number of ways to do that is 5!=120.<br><BR>\n" );
document.write( "The total number of ways to arrange the seven people with Al, Bob, and Carol in  consecutive seats is 6*120 = 720.<br><BR>\n" );
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