turkey-yks 2021 Q11

turkey-yks · Other · yks-ayt Combinations & Selection Basic Combination Computation
Let $a$ and $b$ be digits. Given the sets
$$\begin{aligned} & A = \{ 5,6,7,8,9 \} \\ & B = \{ 1,4,5,7 \} \\ & C = \{ a , b \} \end{aligned}$$
If the number of elements in the Cartesian product $(A \cup C) \times (B \cup C)$ is 28, what is the sum $a + b$?
A) 5
B) 6
C) 8
D) 9
E) 11
Let $a$ and $b$ be digits. Given the sets

$$\begin{aligned}
& A = \{ 5,6,7,8,9 \} \\
& B = \{ 1,4,5,7 \} \\
& C = \{ a , b \}
\end{aligned}$$

If the number of elements in the Cartesian product $(A \cup C) \times (B \cup C)$ is 28, what is the sum $a + b$?\\
A) 5\\
B) 6\\
C) 8\\
D) 9\\
E) 11