Please answer this DBMS ques asap! Suppose that we have three relations R1={A, B, C}, R2={A, B, D} and R3={B, C, D} under the relational data model.  The relation R1 has 5 tuples, the relation R2 has 6 tuples and the relation R3 has 7 tuples. There are no NULL values in these relations. For each of the following relational algebra expressions, list the minimum and maximum numbers of tuples in the result that the relational algebra expression may have.   (1) πA,B(R1) (2) R2 × πB(R3) (3) πB(R2) ∪ πB(R3)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Please answer this DBMS ques asap!

Suppose that we have three relations R1={A, B, C}, R2={A, B, D} and R3={B, C, D} under the relational data model.  The relation R1 has 5 tuples, the relation R2 has 6 tuples and the relation R3 has 7 tuples. There are no NULL values in these relations.

For each of the following relational algebra expressions, list the minimum and maximum numbers of tuples in the result that the relational algebra expression may have.

 

(1) πA,B(R1)
(2) R2 × πB(R3)
(3) πB(R2) ∪ πB(R3)
(4) R1 ⋈ R2
(5) ρX (R2) ⋈X.BY.B ρY (R2)

You can use the following format to organise your answers.
(1) max=____ , min=____ ;
(2) max=____ , min=____ ;
(3) max=____ , min=____ ;
(4) max=____ , min=____ ;
(5) max=____ , min=____ ;
 
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Please answer the remaining questions 4,5!!

Please answer this DBMS ques asap!

Suppose that we have three relations R1={A, B, C}, R2={A, B, D} and R3={B, C, D} under the relational data model.  The relation R1 has 5 tuples, the relation R2 has 6 tuples and the relation R3 has 7 tuples. There are no NULL values in these relations.

For each of the following relational algebra expressions, list the minimum and maximum numbers of tuples in the result that the relational algebra expression may have.

(4) R1 ⋈ R2
(5) ρX (R2) ⋈X.BY.B ρY (R2)

You can use the following format to organise your answers.

(4) max=____ , min=____ ;
(5) max=____ , min=____ ;
 
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