document.write( "Question 1075744: In how many different ways can five people be seated on a five-seat bench if two of them must seat next to each other? \n" ); document.write( "

Algebra.Com's Answer #690375 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here's my guess:
\n" ); document.write( "Let the people be called
\n" ); document.write( "A, B, C, D, E
\n" ); document.write( "Let the people who must sit next to eachother
\n" ); document.write( "be A and B
\n" ); document.write( "--------------
\n" ); document.write( "Let ( A,B ) be considered a \"position\", so now
\n" ); document.write( "there are 4 \"positions\"
\n" ); document.write( "( A,B ), C, D, E
\n" ); document.write( "There are 4 ways to fill the 1st position
\n" ); document.write( "There are 3 ways to fill the 2nd position
\n" ); document.write( "There are 2 ways to fill the 2nd position
\n" ); document.write( "There is 1 way to fill the 4th position
\n" ); document.write( " $\"+4%2A3%2A2%2A1+=+24+\"$
\n" ); document.write( "I must double this since I could have either
\n" ); document.write( "(A,B) or (B,A) so there are
\n" ); document.write( "

2*24 = 48 ways to seat the 5 people
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\n" ); document.write( "definitely get another opinion!
\n" ); document.write( " \n" ); document.write( "

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