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Find the number of rows and columns of Cartesian product of two tables if the number of rows and columns of the first table is 2 and 3 respectively, a
Question

Find the number of rows and columns of Cartesian product of two tables if the number of rows and columns of the first table is 2 and 3 respectively, and the number of rows and columns of the second table is 4 and 5 respectively.

A.

Number of rows = 8 & Number of columns = 15

B.

Number of rows = 6 & Number of columns = 15

C.

Number of rows = 8 & Number of columns = 8

D.

Number of rows = 6 & Number of columns = 8

Correct option is C


The Cartesian product of two tables is calculated as follows:
Formula for the Cartesian Product:
· The number of rows in the result is the product of the number of rows in both tables.
· The number of columns in the result is the sum of the number of columns in both tables.
Given:
· First table:
· Number of rows = 2
· Number of columns = 3
· Second table:
· Number of rows = 4
· Number of columns = 5
Calculation:
· Number of rows = 2 × 4 = 8
· Number of columns = 3 + 5 = 8
Therefore, the correct answer is:
· Number of rows = 8
· Number of columns = 8
Thus, the correct option is:
(c) Number of rows = 8 & Number of columns = 8

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