Consider the join of Relation R with a relation S. If R has m tuples and S has n tuples, then the maximum and minimum size of the join respectively are:Am+n and m-nBM+n and 0Cmn and m+nDmn and 0
Question
Consider the join of Relation R with a relation S. If R has m tuples and S has n tuples, then the maximum and minimum size of the join respectively are:Am+n and m-nBM+n and 0Cmn and m+nDmn and 0
Solution
The maximum size of the join of two relations R and S would be mn. This is because in the worst case, each tuple in R can join with each tuple in S. This is the case when R and S have a common attribute and each value of this common attribute in R is also present in S and vice versa.
The minimum size of the join would be 0. This is the case when R and S have a common attribute but no value of this common attribute in R is present in S or vice versa. In other words, there is no common data between the two relations on the attribute(s) they are being joined on.
So, the correct answer is D: mn and 0.
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