document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119602>Question 1119602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 6 people who will sit in a row but out of them James will always be left of Esther and John will always be right of Esther. In how many ways such arrangement can be done?\r<BR>\n" );
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document.write( "Note: i tried solving and got 24 as the answer but there was no 24 in the options. here are the options: \r<BR>\n" );
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document.write( "120<BR>\n" );
document.write( "72<BR>\n" );
document.write( "64<BR>\n" );
document.write( "218.\r<BR>\n" );
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document.write( "Many thanks. </SPAN>\n" );
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document.write( "Here is another way to solve the problem.<br><BR>\n" );
document.write( "(1) Place James, Esther, and John in the proper order.<BR>\n" );
document.write( "(2) Have the 4th person choose a place in the line.  With 3 people currently in the line, there are 4 choices for where he can stand (left of James, between James and Esther, between Esther and John, or right of John).<BR>\n" );
document.write( "(3) Now there are 4 people in line; the 5th person has 5 choices of where to stand in the line.<BR>\n" );
document.write( "(4) Now there are 5 people in the line; the last person has 6 choices of where to stand in the line.<br><BR>\n" );
document.write( "The total number of different arrangements with the given restrictions is the product of the numbers of choices the last three people had for where to stand in the line: 4*5*6 = 120. </SPAN>\n" );
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