document.write( "Question 462899: Find the number of way of arranging all the letters of the word TENNESSEE:\r
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document.write( "a) the FIRST two letters must be EE\r
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document.write( "b) the FIRST can NOT be EE \n" );
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Algebra.Com's Answer #317245 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! Find the number of way of arranging all the letters of the word TENNESSEE:\r \n" ); document.write( "\n" ); document.write( "a) the FIRST two letters must be EE \n" ); document.write( " \r\n" ); document.write( "Examples: EESENTNSE, EEETSENSN, EENNSSTEE\r\n" ); document.write( "\r\n" ); document.write( "So we just have to fill in the 7 letters after EE\r\n" ); document.write( "from the 7 letters TENNESS in the blanks of:\r\n" ); document.write( "\r\n" ); document.write( "E E _ _ _ _ _ _ _\r\n" ); document.write( "\r\n" ); document.write( "Among the 7 letters of TENNESS there are 2 \r\n" ); document.write( "indistinguishable E's, 2 indistinguishable\r\n" ); document.write( "N's, and 2 indistinguishable S's, so\r\n" ); document.write( "\r\n" ); document.write( "the answer is \n" ); document.write( "b) the FIRST can NOT be EE \n" ); document.write( " \r\n" ); document.write( "First we find all the distinguishable arrangements of \r\n" ); document.write( "the 9 letters TENNESSEE and then subtract the results of\r\n" ); document.write( "part (a)\r\n" ); document.write( "\r\n" ); document.write( "Among the 9 letters of TENNESSEE there are 4 \r\n" ); document.write( "indistinguishable E's, 2 indistinguishable N's, and\r\n" ); document.write( "2 indistinguishable S's, so the number of \r\n" ); document.write( "distinguishable arrangements of TENNESSEE is\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |