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If $\mathrm{A}=\{0,1\}$ and $\mathrm{B}=\{1,0\}$, then what is $\mathrm{A} \times \mathrm{B}$ equal to?
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Verified Answer
The correct answer is:
$\mathrm{A} \times \mathrm{A}$
Let $A=\{0,1\}, B=\{1,0\}$
$\mathrm{A} \times \mathrm{B}=\{(0,1),(1,1),(0,0),(1,0)\}$
$\mathrm{A} \times \mathrm{A}=\{(0,0),(0,1),(1,1),(1,0)\}$
$\therefore \mathrm{A} \times \mathrm{B}=\mathrm{A} \times \mathrm{A}$
$\mathrm{A} \times \mathrm{B}=\{(0,1),(1,1),(0,0),(1,0)\}$
$\mathrm{A} \times \mathrm{A}=\{(0,0),(0,1),(1,1),(1,0)\}$
$\therefore \mathrm{A} \times \mathrm{B}=\mathrm{A} \times \mathrm{A}$
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