document.write( "Question 1206180: In how many ways can the digits in the number 7,633,333 be arranged?
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Algebra.Com's Answer #843444 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "If it is assumed that the value of this number remains unchanged, then there is only one arrangement.\r\n" );
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document.write( "It is what you see.\r\n" );
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document.write( "If any permutations are allowed and we do not care about the value of the number, \r\n" );
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document.write( "then we have 7 positions, in all, and 3 (three) different digits.\r\n" );
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document.write( "The digit 3 is repeated five times.\r\n" );
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document.write( "So, the number of different distinguished arrangements is  \r\n" );
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document.write( "     = 6*7 = 42 after reducing the fraction.    ANSWER\r\n" );
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document.write( "It can be easily explained. We can place the digit 7 in any of 7 positions\r\n" );
document.write( "and we can place the digit 6 in any of 6 remaining positions.\r\n" );
document.write( "After that we place the \"3's\" to fill the 5 remaining positions - it produces one arrangement.\r\n" );
document.write( "Doing and counting this way, we get 7*6 = 42 different distinguishable arrangements.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar (and different) solved problems, look into the lesson\r
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