Question

How many different elements does A X B X C have if A has m elements, B has n elements and C has p elements?

Short answer

\(m \times n \times p\)

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 \(B = n\)

Number of elements in set \(C = p\)

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