document.write( "Question 1149683: How many four-letter combinations of the letters of the word EQUATION contain letter Q?
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Algebra.Com's Answer #771052 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "The given word has 8 letters; they all are different.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "If four-letter word contains letter Q, it can occupy any of 4 positions of the 4-letter word, giving you 4 primary options.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "For the rest 3 positions, you have 7*6*5 = 210 choices, that are secondary options.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The full number of combinations under the question is then 4*210 = 840. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From the context, I understand the meaning of this question in THIS way :\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " How many different four-letter words can be formed of the letters of the word EQUATION containing letter Q?\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "@greenestamps interprets the problem differently. So he got different solution and different answer.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since your formulation admits different interpretations, it is FAR from to be perfect.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |