document.write( "Question 431723: how many different ways can 5 people be seated on a bench if 2 of the people must sit next to eachother? \n" ); document.write( "

Algebra.Com's Answer #299534 by Edwin McCravy(20055) $\"\"$ $\"About$

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how many different ways can 5 people be seated on a bench if 2 of the people must sit next to eachother?
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document.write( "Think of handcuffing the two together that mist sit next to each\r\n" );
document.write( "other and then you only have 4 \"things\" to seat, 3 single people\r\n" );
document.write( "and 1 couple handcuffed together.\r\n" );
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document.write( "There are 2 ways to handcuff them together.\r\n" );
document.write( "For each of the two ways to handcuff them together, there are\r\n" );
document.write( "4! ways to seat the four \"things\", so the answer is \r\n" );
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document.write( "2*4! = 2*4*3*2*1 = 48 ways.\r\n" );
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document.write( "Edwin

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