ordering by date for each ID - Mailing list pgsql-sql

Hi all,
I have this tableid |           date | score_count
----+--------------+-------------13 | 1999-09-16   |           413 | 2002-06-27   |           413 | 2006-10-25   |
    413 | 2010-05-12   |           465 | 2002-07-18   |           365 | 2004-08-05   |           365 | 2007-08-15   |
       386 | 2001-05-29   |           586 | 2002-04-04   |           586 | 2006-03-02   |           586 | 2008-02-13
|          586 | 2011-01-19   |           5 

Each ID can have different number of score counts.

My goal is to add column "order", which shows the order of the values
in column "date" in descendant order for each property. The expected output
will look like this:
id |       date           | score_count | order
----+------------------+---------------+-----------13 | 1999-09-16   |           4        | 413 | 2002-06-27   |
  4        | 313 | 2006-10-25   |           4        | 213 | 2010-05-12   |           4        | 165 | 2002-07-18   |
       3        | 365 | 2004-08-05   |           3        | 265 | 2007-08-15   |           3        | 186 | 2001-05-29
|           5        | 586 | 2002-04-04   |           5        | 486 | 2006-03-02   |           5        | 386 |
2008-02-13  |           5        | 2 86 | 2011-01-19   |           5        | 1 

Any help would be appreciated.

Thanks,

Diep