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 #843454 by mccravyedwin(407) $\"\"$ $\"About$

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In how many ways can the digits in the number 7,633,333 be arranged?
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document.write( "There are 7 positions to place the 7.\r\n" );
document.write( "For each of those 7 positions to place the 7, there are 6 positions\r\n" );
document.write( "to place to 6.  \r\n" );
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document.write( "That's 7x6 = 42. (We put 3's in the other 5 places)\r\n" );
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document.write( "Or we can use the formula:\r\n" );
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document.write( "The number of things (digits) to be arranged is 7 because 7633333 has 7\r\n" );
document.write( "digits.  Only the 5 3's are indistinguishable.  So the answer this way is\r\n" );
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document.write( "Here are all 42.  7 rows of 6 each:\r\n" );
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document.write( "7633333, 7363333, 7336333, 7333633, 7333363, 7333336,\r\n" );
document.write( "6733333, 6373333, 6337333, 6333733, 6333373, 6333337, \r\n" );
document.write( "3763333, 3736333, 3733633, 3733363, 3733336, 3673333, \r\n" );
document.write( "3637333, 3633733, 3633373, 3633337, 3376333, 3373633, \r\n" );
document.write( "3373363, 3373336, 3367333, 3363733, 3363373, 3363337, \r\n" );
document.write( "3337633, 3337363, 3337336, 3336733, 3336373, 3336337, \r\n" );
document.write( "3333763, 3333736, 3333673, 3333637, 3333376, 3333367. \r\n" );
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document.write( "Edwin

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