Question

How many different elements does A X B have if A has m elements and B has n elements

Short answer

m X n

Step-by-step solution

Number of elements in a set

If X is an element of Y

Notation:\(X \in Y\)

The number of elements in it will be \(x \times y\).

To find different number of elements

Number of elements in set \(A = m\)

Number of elements in set \(B = n\)

Therefore, number of elements in \(A \times B = m \times n\)