Find the indicated cardinal number.
-Find $n ( E )$, given that $n ( C \times E ) = 18$ and $C = \{ 4,5,6 \}$.
A) 54
B) 9
C) 6
D) 3

Question

Quizplus · Accepted Answer

The cardinal number of the Cartesian product $C \times E$, denoted as $n(C \times E)$, is found by multiplying the cardinal numbers of sets $C$ and $E$. Since $n(C) = 3$ (because $C$ has 3 elements: 4, 5, 6) and $n(C \times E) = 18$, we find $n(E)$ by dividing 18 by 3, which gives $n(E) = 6$.

Find the Indicated Cardinal Number n(E)n ( E )n(E) , Given That

Find the Indicated Cardinal Number $n ( E )$ , Given That