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Consider the following relation schema pertaining to a students database:
Student (rollno, name, address)
Enroll (rollno, courseno, coursename)
where the primary keys are shown underlined. The number of tuples in the Student and Enroll tables are 120 and 8 respectively. What are the maximum and minimum number of tuples that can be present in (Student * Enroll), where '*' denotes natural join ?
  • a)
    8, 0
  • b)
    120, 8
  • c)
    960, 8
  • d)
    960, 120
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following relation schema pertaining to a students databa...
The result of the natural join is the set of all combinations of tuples in R and S that are equal on their common attribute names. What is the maximum possible number of tuples? The result of natural join becomes equal to the Cartesian product when there are no common attributes. The given tables have a common attribute, so the result of natural join cannot have more than the number of tuples in larger table.
What is the maximum possible number of tuples? It might be possible that there is no rollnumber common. In that case, the number of tupples would be 0.
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Most Upvoted Answer
Consider the following relation schema pertaining to a students databa...
Given Information:
The relation schema for a student database is as follows:
- Student (rollno, name, address)
- Enroll (rollno, courseno, coursename)
The primary keys are shown underlined.
The number of tuples in the Student table is 120.
The number of tuples in the Enroll table is 8.

Objective:
To determine the maximum and minimum number of tuples that can be present in the result of the natural join operation (Student * Enroll).

Solution:
The natural join operation combines tuples from two relations based on matching values of attributes. In this case, the natural join will be performed on the "rollno" attribute, which is common to both the Student and Enroll relations.

To find the maximum and minimum number of tuples in the result of the natural join, we need to consider the worst-case scenarios.

Maximum Number of Tuples:
The maximum number of tuples in the result of the natural join is obtained when every tuple in the Student relation matches with every tuple in the Enroll relation. In this case, each tuple in the Student relation will be paired with each tuple in the Enroll relation, resulting in a maximum possible number of tuples in the result.

Since there are 120 tuples in the Student relation and 8 tuples in the Enroll relation, the maximum number of tuples in the result will be 120 * 8 = 960.

Minimum Number of Tuples:
The minimum number of tuples in the result of the natural join is obtained when there are no matching tuples between the Student and Enroll relations. In this case, the natural join will result in an empty set, i.e., 0 tuples.

Therefore, the maximum and minimum number of tuples that can be present in (Student * Enroll) are 960 and 0, respectively.

Answer:
The maximum and minimum number of tuples that can be present in (Student * Enroll) are 960 and 0, respectively. The correct option is A.
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Consider the following relation schema pertaining to a students database:Student (rollno, name, address)Enroll (rollno, courseno, coursename)where the primary keys are shown underlined. The number of tuples in the Student and Enroll tables are 120 and 8 respectively. What are the maximum and minimum number of tuples that can be present in (Student * Enroll), where '*' denotes natural join ?a)8, 0b)120, 8c)960, 8d)960, 120Correct answer is option 'A'. Can you explain this answer?
Question Description
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