Any difference between the separate function and aggregation in sql query cost?

Hello
I've run many models sql stmts - such as:
one) using a single table
(b) using the two tables, using simple joins or outer joins

but I didn't notice a difference in sql stmts in cost and implementation plan...
In any case, my colleague insists on only using the aggregate function is less expensive compared to
separate... (something I've not confirmed, that is why I believe that they are exactly the same...)

For the situation described above under 1 sql... We could for example use
select distinct deptno

 from emp
select count(*), deptno

 from emp

 group by deptno
select distinct owner, object_type from all_objects
select count(*), owner, object_type from all_objects

group by owner, object_type
Have you ever found no difference between the two...?

Note: I use Ora DB 10g v2.

Thank you
SIM

Alexandre Gelin says:
function separate and aggregation are for different uses and can give the same result, but if you use the aggregate function to get the separate records, it will be expensive...

really? I find them almost identical to 11g. Actually GROUP BY is almost always more fast for me in the old days.

article about this askTom Re: any difference between the separate function and aggregation in sql query cost?
This applies mainly to the older oracle versions http://www.oracle.com/technology/products/rdb/pdf/distinct_derivedtables_groupby_sort_tech_article.pdf

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