Question

Suppose relation R1 has n1 attributes and t1 tuples, relation R2 has n2 attributes and t2 tuples, then the Cartesian Product R3 = R1 x R2 has ________

Select one:
a. n1*n2 attributes, and t1*t2 tuples
b. n1+n2 attributes, and t1*t2 tuples
c. n1*n2 attributes, and t1+t2 tuples
d. n1+n2 attributes, and t1+t2 tuples

Answer 1

The Cartesian Product R3 of R1 and R2, where R1 has n1 attributes and t1 tuples, and R2 has n2 attributes and t2 tuples, will have n1+n2 attributes and t1*t2 tuples.

Step-by-step explanation:

When working with relational databases, the Cartesian Product is a mathematical operation performed on two sets of tuples from two relations - in this case, R1 and R2. If relation R1 has n1 attributes and t1 tuples, and relation R2 has n2 attributes and t2 tuples, then the Cartesian Product R3 = R1 x R2 will have n1+n2 attributes, and t1*t2 tuples.

The attributes from both relations are combined in a straightforward manner, adding the number of attributes in R1 to the number of attributes in R2, resulting in R1 having n1+n2 attributes in total. As for the tuples, every tuple in R1 is paired with every tuple in R2, producing t1*t2 tuples in the resulting Cartesian Product R3.

The correct answer to the question is b. n1+n2 attributes, and t1*t2 tuples.