How to find out combination from following situation

Dear all,
It is bit different,with your permition,i am taking this apartunity to make some changes.
1 2 3 will always be in this order {123}, i want to find out number of cases can be made,
like {1},{2},{23},{13},{12},{123}{3},{}. but each number has two states like "a" "b", i.e,
each one will become different entity,like 2a,2b,3a,3b,1a,
with only exception i.e. 1 will have only one state 1a.
please tel me step wise using formulas, so that i can understand, also any link will be helpfull.
is there any way to solve this using tsql program or any programm exist in any other language.
yours sincerly

Hi Saeid
Compare the Execution plan of those queries:
SELECT 'a' s UNION SELECT 'b'
SELECT 'a' s UNION ALL SELECT 'b'
If you know that the values are unique always use UNION ALL and not UNION :-) It is much better (in the execution plan comparing the queries above you will get 56% vs 44%).
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