Let $A=\{1,2,3\}, B=\{3,4\}$ and $C=\{4,5,6\} .$ Find
$(A \times B) \cap(A \times C)$
Let $A=\{1,2,3\}, B=\{3,4\}$ and $C=\{4,5,6\} .$ Find
$(A \times B) \cap(A \times C)$
Now $( A \times B )=\{(1,3),(1,4),(2,3),(2,4),(3,3),(3,4)\}$
and $( A \times C )=\{(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)\}$
Therefore, $(A \times B) \cap(A \times C)=\{(1,4),(2,4),(3,4)\}$
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