Question

Let $A=\{1,2,3,4,5\},$ $B=\{4,5,6,7,8\}$ and $C=\{8,9,10,11,12\},$ then $n[A\times (B^{\prime }\cup C^{\prime }{)}^{\prime }]=$

• A. 5
• B. 5.0
• C. 5.00

Answer 1

Answer: (A), (B), (C)

Given: $A=\{1,2,3,4,5\},$ $B=\{4,5,6,7,8\}$ and $C=\{8,9,10,11,12\}$

$A\times (B^{\prime }\cup C^{\prime }{)}^{\prime }=A\times (B\cap C)B\cap C=\{8\}$

$\Rightarrow n[A\times (B^{\prime }\cup C^{\prime }{)}^{\prime }]=5\times 1=5$