document.write( "Question 767241: The letters A,B,C,D and E are arranged in random order.\r
\n" ); document.write( "\n" ); document.write( "(a)What is the probability that the three letters
\n" ); document.write( "A,B,and C appear in this particular order somewhere in the string of letters?\r
\n" ); document.write( "\n" ); document.write( "(b) What is the probability that the letters A,B,and C appear in anyorder (i.e.
\n" ); document.write( "ABC,CBA,BCA
\n" ); document.write( "etc.)somewhere in the string of letters? \n" ); document.write( "

Algebra.Com's Answer #467516 by Edwin McCravy(20062) $\"\"$ $\"About$

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The letters A,B,C,D and E are arranged in random order.\r
\n" ); document.write( "\n" ); document.write( "(a)What is the probability that the three letters
\n" ); document.write( "A,B,and C appear in this particular order somewhere in the string of letters?
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document.write( "They can appear like this\r\n" );
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document.write( "A,B,C,_,_ in 2 ways, ABCDE and ABCED \r\n" );
document.write( "_,A,B,C,_ in 2 ways, DABCE and EABCD\r\n" );
document.write( "_,_,A,B,C in 2 ways, DEABC and EDABC\r\n" );
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document.write( "That's 6 ways out of 5! or  =  =  = 0.05 = 5% of the time that will happen.\r\n" );
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\n" ); document.write( "(b) What is the probability that the letters A,B,and C appear in any order (i.e.
\n" ); document.write( "ABC,CBA,BCA etc.)somewhere in the string of letters?
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document.write( "There are 3! times as many ways as in part (a), each order the same as A,B,C\r\n" );
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document.write( "That's 3!×6 or 6×6=36 ways out of 5! or  =  =  = 0.30 = 30% of the time that will happen.\r\n" );
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document.write( "Edwin

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