document.write( "Question 152564: how many ways to make change for one dollar using nickels, dimes and quarters \n" ); document.write( "
Algebra.Com's Answer #112175 by Edwin McCravy(20060)\"\" \"About 
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document.write( "We can use either 0, 1, 2, 3, or 4 quarters.\r\n" );
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document.write( "If we use 0 quarters, we can use from 0 up to 10 dimes,\r\n" );
document.write( "and the rest, if any, in nickels.  That accounts for 11 ways.\r\n" );
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document.write( "If we use 1 quarter, we can use from 0 up to 7 dimes,\r\n" );
document.write( "and the rest in nickels.  That accounts for 8 ways.\r\n" );
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document.write( "If we use 2 quarters, we can use from 0 up to 5 dimes,\r\n" );
document.write( "and the rest, if any, in nickels.  That accounts for 6 ways.\r\n" );
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document.write( "If we use 3 quarters, we can use from 0 up to 2 dimes,\r\n" );
document.write( "and the rest in nickels.  That accounts for 3 ways. \r\n" );
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document.write( "If we use 4 quarters, that's the whole dollar, so that accounts\r\n" );
document.write( "for 1 way.\r\n" );
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document.write( "So the total number of ways = 11+8+6+3+1 = 29 \r\n" );
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document.write( "You weren't asked to list them, but here is the \r\n" );
document.write( "list of all 29 ways: \r\n" );
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document.write( " 1.  0 quarters,  0 dimes, and 20 nickels.\r\n" );
document.write( " 2.  0 quarters,  1 dime,  and 18 nickels.\r\n" );
document.write( " 3.  0 quarters,  2 dimes, and 16 nickels.\r\n" );
document.write( " 4.  0 quarters,  3 dimes, and 14 nickels.\r\n" );
document.write( " 5.  0 quarters,  4 dimes, and 12 nickels.\r\n" );
document.write( " 6.  0 quarters,  5 dimes, and 10 nickels.\r\n" );
document.write( " 7.  0 quarters,  6 dimes, and  8 nickels.\r\n" );
document.write( " 8.  0 quarters,  7 dimes, and  6 nickels.\r\n" );
document.write( " 9.  0 quarters,  8 dimes, and  4 nickels.\r\n" );
document.write( "10.  0 quarters,  9 dimes, and  2 nickels.\r\n" );
document.write( "11.  0 quarters, 10 dimes, and  0 nickels.\r\n" );
document.write( "12.  1 quarter,   0 dimes, and 15 nickels.\r\n" );
document.write( "13.  1 quarter,   1 dime,  and 13 nickels.\r\n" );
document.write( "14.  1 quarter,   2 dimes, and 11 nickels.\r\n" );
document.write( "15.  1 quarter,   3 dimes, and  9 nickels.\r\n" );
document.write( "16.  1 quarter,   4 dimes, and  7 nickels.\r\n" );
document.write( "17.  1 quarter,   5 dimes, and  5 nickels.\r\n" );
document.write( "18.  1 quarter,   6 dimes, and  3 nickels.\r\n" );
document.write( "19.  1 quarter,   7 dimes, and  1 nickel.\r\n" );
document.write( "20.  2 quarters,  0 dimes, and 10 nickels.\r\n" );
document.write( "21.  2 quarters,  1 dime,  and  8 nickels.\r\n" );
document.write( "22.  2 quarters,  2 dimes, and  6 nickels.\r\n" );
document.write( "23.  2 quarters,  3 dimes, and  4 nickels.\r\n" );
document.write( "24.  2 quarters,  4 dimes, and  2 nickels.\r\n" );
document.write( "25.  2 quarters,  5 dimes, and  0 nickels.\r\n" );
document.write( "26.  3 quarters,  0 dimes, and  5 nickels.\r\n" );
document.write( "27.  3 quarters,  1 dime,  and  3 nickels.\r\n" );
document.write( "28.  3 quarters,  2 dimes, and  1 nickel.\r\n" );
document.write( "29.  4 quarters,  0 dimes, and  0 nickels.\r\n" );
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document.write( "Edwin
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