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sql server 2008 - How to count in SQL all fields with null values in one record?

Is there any way to count all fields with null values for specific record excluding PrimaryKey column?

Example:

ID  Name    Age    City     Zip

1   Alex    32     Miami    NULL
2   NULL    24     NULL     NULL

As output I need to get 1 and 3. Without explicitly specifying column names.

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declare @T table
(
  ID int,
  Name varchar(10),
  Age int,
  City varchar(10),
  Zip varchar(10)
)  

insert into @T values 
(1, 'Alex', 32, 'Miami', NULL),
(2,  NULL,  24,  NULL,   NULL)

;with xmlnamespaces('http://www.w3.org/2001/XMLSchema-instance' as ns)
select ID,
       (
          select *
          from @T as T2
          where T1.ID = T2.ID
          for xml path('row'), elements xsinil, type 
       ).value('count(/row/*[@ns:nil = "true"])', 'int') as NullCount
from @T as T1

Result:

ID          NullCount
----------- -----------
1           1
2           3

Update:

Here is a better version. Thanks to Martin Smith.

;with xmlnamespaces('http://www.w3.org/2001/XMLSchema-instance' as ns)
select ID,
       (
          select T1.*
          for xml path('row'), elements xsinil, type 
       ).value('count(/row/*[@ns:nil = "true"])', 'int') as NullCount
from @T as T1

Update:

And with a bit faster XQuery expression.

;with xmlnamespaces('http://www.w3.org/2001/XMLSchema-instance' as ns)
select ID,
       (
          select T1.*
          for xml path('row'), elements xsinil, type 
       ).value('count(//*/@ns:nil)', 'int') as NullCount
from @T as T1

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