document.write( "Question 1201562: In how many ways can 6 students be seated in a row of 6 seats if 2 of the students insist on sitting beside each other? \n" ); document.write( "
Algebra.Com's Answer #836006 by ikleyn(52784)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "In how many ways can 6 students be seated in a row of 6 seats \n" ); document.write( "if 2 of the students insist on sitting beside each other? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "First, we consider this inseparable couple as one object.\r\n" ); document.write( "\r\n" ); document.write( "Doing this way, we have 5 objects to order in a row, and\r\n" ); document.write( "we can order 5 objects in 5! = 5*4*3*2*1 = 120 different ways.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "But we also can order this pair in two different ways - it gives us\r\n" ); document.write( "the total of 2*120 = 240 different possible ordering\r\n" ); document.write( "of 6 students under given condition.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, with complete explanations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |