Find subsets [tex]$A, B, C$[/tex] of the universal set

[tex]$\textbf{U}=\{1, 2, . . . , 14\}$[/tex]

such that

[tex]$|A| = 7, |B| = 6, |C| = 6, |A ∩ B| = 3, |A ∩ C| = 3, |B ∩ C| = 2$[/tex]

and [tex]$|A \cap B \cap C| = 1 $[/tex]