document.write( "Question 1056671: in how many ways can 20 board members sit in a circular board room if the chairman must sit between the secretary and the treasure? \n" ); document.write( "
Algebra.Com's Answer #672141 by ikleyn(52786)\"\" \"About 
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\n" ); document.write( "in how many ways can 20 board members sit in a circular board room if the chairman must sit between the secretary and the treasure?
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\n" ); document.write( "\n" ); document.write( "In problems like this one the two arrangements are considered as undistinguished (as one unique arrangement)
\n" ); document.write( "if there is a rotation which maps one arrangement to the other.\r
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\n" ); document.write( "\n" ); document.write( "Based on this agreement, the number of different arrangements is \r
\n" ); document.write( "\n" ); document.write( "2*(20-3)! = 2*17!\r
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\n" ); document.write( "\n" ); document.write( "The factor \"2\" describes two different placements for the secretary and the treasure.\r
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\n" ); document.write( "\n" ); document.write( "17! is the number of different arrangements for the rest 20-3 = 17 members.\r
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