In database and relational joins, if five tables need to be joined in a straight chain so that each table is joined to the next one once, how many join operations are required?

Difficulty: Easy

Correct Answer: 4

Explanation:


Introduction / Context:
This question comes from relational database concepts and SQL join operations. When multiple tables need to be combined in a single query, joins connect rows based on related columns. The number of join operations required to connect a given number of tables in a straight chain follows a simple pattern. Understanding this pattern helps in query planning and optimization.


Given Data / Assumptions:
- There are 5 distinct tables to be joined.
- The phrase join straight suggests a simple chain, where each table is joined to exactly one neighbour, forming a linear sequence.
- We assume standard join operations in SQL, such as inner join or left join, without considering special cases like cross joins.
- We must count the number of join conditions or join operations needed to connect all tables in one query.


Concept / Approach:
In a straight join chain, each join operation connects one additional table to the already formed result. Starting from one table, each new join brings in exactly one more table. Therefore, the number of joins needed to link N tables in a single chain is N minus 1. This pattern can be seen by simple counting: two tables need one join, three tables need two joins, and so on.


Step-by-Step Solution:
Step 1: Begin by considering the simplest case. To join 2 tables in a straight chain, we need 1 join operation between them. Step 2: To add a third table, we take the existing result of the first join and join it with the third table. This requires a second join operation. Step 3: In general, each time we add a new table to the chain, we need one more join. Step 4: Therefore, to connect N tables in a straight chain, we need N - 1 join operations. Step 5: For the given case with 5 tables, the required number of joins is 5 - 1 = 4.


Verification / Alternative check:
Imagine explicitly naming the tables as T1, T2, T3, T4, and T5. A straight chain join might look like T1 join T2, then join T3, then join T4, and then join T5. Counting these operations: T1 joined with T2 is 1 join, joining that result with T3 is a second join, with T4 is a third join, and with T5 is a fourth join. After 4 joins all 5 tables are connected, confirming that 4 joins are sufficient and necessary.


Why Other Options Are Wrong:
Option 5: This would correspond to N joins for N tables, which is more than needed. One table does not require a join to itself.
Option 6: This is even larger and has no basis in the linear chain pattern of joining tables.
Option 10: This might come from confusing joins with all possible pairs of tables in a complete graph, but the question specifies a straight chain, not all pairwise connections.
Option 3: This would be fewer than N - 1 joins and would leave at least one table disconnected from the chain.


Common Pitfalls:
Some learners confuse the number of joins required in a chain with the number of possible table pairs, leading to overcounting. Others mistakenly think that each table requires a join, forgetting that the first table serves as the starting point. Remember the general rule: in a straight chain, the number of joins is always one less than the number of tables being connected.


Final Answer:
To join 5 tables in a straight chain, 4 join operations are required.

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