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Relational tables and SQL join operations are the main tools used in this problem. CROSS JOIN specifically allows combining rows from multiple tables without requiring join conditions.
The key concept is the Cartesian product, implemented with CROSS JOIN in SQL. It pairs every row of one table with every row of the others to generate all combinations.
Problems like this are common in SQL interview rounds at large tech companies. They test your understanding of joins, Cartesian products, and how relational databases combine datasets.
The optimal approach is to use a SQL CROSS JOIN to generate the Cartesian product of the three tables. This produces every possible combination of one row from each table, forming all valid triplets.