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select - Oracle: How to count null and non-null rows

I have a table with two columns that might be null (as well as some other columns). I would like to count how many rows that have column a, b, both and neither columns set to null.

Is this possible with Oracle in one query? Or would I have to create one query for each? Can't use group by or some other stuff I might not know about for example?

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COUNT(expr) will count the number of rows where expr is not null, thus you can count the number of nulls with expressions like these:

SELECT count(a) nb_a_not_null,
       count(b) nb_b_not_null,
       count(*) - count(a) nb_a_null,
       count(*) - count(b) nb_b_null,
       count(case when a is not null and b is not null then 1 end)nb_a_b_not_null
       count(case when a is null and b is null then 1 end) nb_a_and_b_null
  FROM my_table

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