Question

State True or False:
If table A has 6 rows and 3 columns,
and table B has 5 rows and 2 columns,
the Cartesian product of A and B will have 30 rows and 5 columns.

Hint:

Cartesian product rows = rows(A) x rows(B),
columns = columns(A) + columns(B).

Answer 1

A Cartesian product between two tables combines each row
of the first table with every row of the second table.
So, the total number of rows will be the product of the row counts:
6 rows in A multiplied by 5 rows in B equals 30 rows.
The number of columns in the resulting table
will be the sum of the columns from both tables:
3 columns in A plus 2 columns in B equals 5 columns.
So the statement is True.