document.write( "Question 906904: Please help me solve this: While arranging letters of word ALGORITHM (without repetition of any letter) a person keeps letters RIT together and calculates probability of such occurrences. What is the correct result? \n" ); document.write( "
Algebra.Com's Answer #550090 by Edwin McCravy(20061)\"\" \"About 
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document.write( "There are two different interpretations of \"keeps letters RIT together\".\r\n" );
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document.write( "What about RTI, TRI, TIR, ITR, and IRT.  The lettrers are together but\r\n" );
document.write( "not in the same order, but the problem doesn't say they must be in the\r\n" );
document.write( "same order.  They are still together even though not in the original order.  \r\n" );
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document.write( "Interpretation 1:  They are in the same order RIT.\r\n" );
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document.write( "That's the number of arrangements of these 7 things\r\n" );
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document.write( "A, L, G, O, RIT, H, M.\r\n" );
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document.write( "That's 7!\r\n" );
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document.write( "For the probability of selecting one of those, 7! is the numerator\r\n" );
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document.write( "we need a denominator, which is 9!  \r\n" );
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document.write( "Probability 7!/9! = 5040/362880 = 1/72\r\n" );
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document.write( "Interpretation 2:  Multiply both resuts of interpretation 1 by 3!\r\n" );
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document.write( "7!*3! = 5040*6 = 30240\r\n" );
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document.write( "30240/362880 = 1/12\r\n" );
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document.write( "Edwin

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