State True or False for the following statements If \( \mathrm{A}=\...

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State True or False for the following statements
If \( \mathrm{A}=\{1,2,3\}, \mathrm{B}=\{3,4\} \) and \( \mathrm{C}=\{4,5,6\} \), then \( (\mathrm{A} \times \mathrm{B}) \cup(\mathrm{A} \times \mathrm{C}) \)
P \( =\{(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6)\} \).

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