Given two tables R1(x, y) and R2(y, z) with 50 and 30 tuples respectively. Find a maximum number of tuples in the output of natural join between tables R1 and R2 i.e. R1 * R2? (* - Natural Join)
Question
Given two tables R1(x, y) and R2(y, z) with 50 and 30 tuples respectively. Find a maximum number of tuples in the output of natural join between tables R1 and R2 i.e. R1 * R2? (* - Natural Join)
Solution
The maximum number of tuples in the output of a natural join between tables R1 and R2 would be determined by the number of matching values in the common attribute 'y' in both tables.
In the worst case scenario, if every tuple in R1 matches with every tuple in R2 on the 'y' attribute, then the maximum number of tuples in the output of the natural join would be the product of the number of tuples in R1 and R2.
So, the maximum number of tuples in the output of the natural join R1 * R2 would be 50 (from R1) * 30 (from R2) = 1500 tuples.
However, it's important to note that this is the maximum possible number of tuples. The actual number of tuples in the output of the natural join could be less than this, depending on the actual data in the tables.
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