Count descendant rows in a table tree

We have a table with tree structure like this:

Id  Desc  ParentID
A    DescrA   NULL
B    DescrB   A
C    DescrC   A
D    DescrD   C
E    DescrE   C
F    DescrF   E

We need a query that returns the number of descendants (including subdescendants) of a specific ID, something like:

select count(descendants) from Tablex where id='A' --result = 5
select count(descendants) from Tablex where id='B' --result = 0
select count(descendants) from Tablex where id='C' --result = 3
select count(descendants) from Tablex where id='E' --result = 1

We have seen it would be made 'easily' with CTE but couldnt get the gist of it...


declare @T table
  Id char(1),
  ParentId char(1)

insert into @T values
('A', NULL),
('B', 'A'),
('C', 'A'),
('D', 'C'),
('E', 'C'),
('F', 'E');

declare @ParentId char(1);
set @ParentId = 'A';

with C as
  select Id, ParentId
  from @T
  where ParentId = @ParentId
  union all
  select T.Id, T.ParentId
  from @T as T
    inner join C
      on T.ParentId = C.Id
select count(*)
from C;

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