Question

Let A ={A, b, c} and B={1, 2, 3, 4}. Determine n(A×B).

a) 3
b) 9
c) 12
d) 16

Answer 1

To determine n(A×B), we need to find the cross product between sets A and B. The cross product is the set of all possible ordered pairs, where the first element comes from set A and the second element comes from set B. For this problem, A ={A, b, c} and B={1, 2, 3, 4}. The cross product will be {(A, 1), (A, 2), (A, 3), (A, 4), (b, 1), (b, 2), (b, 3), (b, 4), (c, 1), (c, 2), (c, 3), (c, 4)}. There are 12 ordered pairs in the cross product, so n(A×B) = 12.

Step-by-step explanation:

To determine n(A×B), we need to find the cross product between sets A and B. The cross product is the set of all possible ordered pairs, where the first element comes from set A and the second element comes from set B.

For this problem, A ={A, b, c} and B={1, 2, 3, 4}.

The cross product will be {(A, 1), (A, 2), (A, 3), (A, 4), (b, 1), (b, 2), (b, 3), (b, 4), (c, 1), (c, 2), (c, 3), (c, 4)}

There are 12 ordered pairs in the cross product, so n(A×B) = 12.