document.write( "Question 1191838: For the word MAGIC how many different types of arrangement are possible so that the vowels are always together? \n" ); document.write( "

Algebra.Com's Answer #823684 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "We have three consonants M, G and C as three separate items and we have the block of two vowels AI as the fourth item.\r\n" );
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document.write( "There are 4! = 1*2*3*4 = 24 possible permutations of these four items,\r\n" );
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document.write( "and there are 2 permutations of the vowels A and I inside the block.\r\n" );
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document.write( "In all, it gives 2*4! = 2*24 = 48 possible different permutations/arrangements.     ANSWER\r\n" );
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