document.write( "Question 857429: The letters A, B, C, D, and E are arranged in random order.
\n" ); document.write( "(a) What is the probability that the three letters A, B, and C appear in
\n" ); document.write( "this particular order somewhere in the string of letters?
\n" ); document.write( "(b) What is the probability that the letters A, B, and C appear in any
\n" ); document.write( "order (i.e.ABC, CBA, BCA etc.) somewhere in the string of letters?
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Algebra.Com's Answer #516570 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "The letters A, B, C, D, and E are arranged in random order. 5! = 120 total ways
\n" ); document.write( "6 ways of arranging exactly ABC (3P3) in the string of 5 letters
\n" ); document.write( "a) P(letters A, B, and C appear in this particular order) = 6/120 = 1/20
\n" ); document.write( "6 ways of arranging exactly ABC (3P3) in the string of 5 letters
\n" ); document.write( " 6 ways of ABC in any order: ABC,ACB,BAC, BCA, CAB, CBA
\n" ); document.write( "b) P(What is the probability that the letters A, B, and C appear in any
\n" ); document.write( " order) = \"6%2A6%2F120+=+3%2F10\"
\n" ); document.write( "(i.e.ABC, CBA, BCA etc.)
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