document.write( "Question 856069: If the 26 letters of the alphabet are arranged at random in a row, what is the probability that the letters A and B are next to each other? \n" ); document.write( "
Algebra.Com's Answer #515723 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The number of ways to arrange the 25 things where \"AB\"\r\n" ); document.write( "is one thing, and the other letters are the other 24 things, is:\r\n" ); document.write( "\r\n" ); document.write( "{AB,C,D,E,F,...,X,Y,Z} is 25!\r\n" ); document.write( "\r\n" ); document.write( "The number of ways to arrange the 25 things where \"BA\"\r\n" ); document.write( "is one thing, and the other letters are the other 24 things, is:\r\n" ); document.write( "\r\n" ); document.write( "{BA,C,D,E,F,...,X,Y,Z} is also 25!\r\n" ); document.write( "\r\n" ); document.write( "So that 2×25!\r\n" ); document.write( "\r\n" ); document.write( "out of the number of ways to arrange the 26 things:\r\n" ); document.write( "\r\n" ); document.write( "{A,B,C,D,E,F,...,X,Y,Z}\r\n" ); document.write( "\r\n" ); document.write( "which is 26!\r\n" ); document.write( "\r\n" ); document.write( "Answer:\n" ); document.write( " |