document.write( "Question 1105805: How many different words can be made out of the letters of the word ALLAHABAD? In how many of these with the vowels occupy the even places? \n" ); document.write( "

Algebra.Com's Answer #720721 by Edwin McCravy(20054) $\"\"$ $\"About$

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How many different words can be made out of the letters of the word ALLAHABAD?
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document.write( "The answer would be 9! if the A's and also the L's were distinguishable.\r\n" );
document.write( "But since the 4 A's are indistinguishable, we must divide by 4!.  Also \r\n" );
document.write( "since the 2 L's are indistinguishable, we must also divide by 2!.\r\n" );
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document.write( "Answer = \r\n" );
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\n" ); document.write( "In how many of these with the vowels occupy the even places?
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document.write( "They are all of the form _A_A_A_A_  where the 5 consonants B,H,D,L,L \r\n" );
document.write( "fill the blanks.\r\n" );
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document.write( "This number is the same as the number of distinguishable arrangements \r\n" );
document.write( "of consonants BHLLD, which is \r\n" );
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document.write( "Edwin

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