document.write( "Question 146032: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:\r
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document.write( "In how many different ways can you arrange the letters of the word INTERNET?\r
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Algebra.Com's Answer #106593 by BrittanyM(80)![]() ![]() ![]() You can put this solution on YOUR website! The best way to solve this problem is to use permutation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We are given the word INTERNET, and we are asked to create as many letter combinations as possible with it. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are a total of 8 letters in the word, but N, T, and E are all repeated once which makes them indistinguishable.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From the equation for permutation, we have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Which gives us an answer of 5040.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |