Найдите декартово произведение $A \times B$ множеств $A$ и $B$.

1. $A = \{a, b, c\}; B = \{b, e\}$.

   $\big\{(a,b), (a,e), (b,e), (b,b), (c,b), (c,e), (b,a), (e,a), (e,b), (b,b), (b,c), (e,c)\big\}$

   $\big\{(a,b), (a,e), (b,e), (b,b), (c,b)\big\}$

   $\big\{(a,b), (b,e), (a,e),(c,b), (c,e), (b,b)\big\}$

   $\big\{(b,a), (e,a), (e,b), (b,b), (b,c), (e,c)\big\}$

2. $A = \{1, 2\}; B = \{a, b,c\}$.

   $\big\{(1,b), (1,a), (1,c), (2,b), (2,c)\big\}$

   $\big\{(a,1), (b,2), (a,2), (c,1), (c,2), (b,1)\big\}$

   $\big\{(a,1), (a,2), (b,1), (b,2), (c,1), (c,2), (1,a), (1,a), (2,b), (2,b), (2,c), (2,c)\big\}$

   $\big\{(1,a), (2,a), (1,b), (2,b), (1,c), (2,c)\big\}$

3. $A = \{x : 1 \leq x < 2\}; B = \{x : 2 < x \leq 3 \}$.

   $\big\{(x,y) : x \in [2, 3], y \in [1, 2]\big\}$

   $\big\{(x,y) : x \in [1, 2], y \in [2, 3]\big\}$

   $\big\{(x,y) : x \in [1, 2), y \in (2, 3]\big\}$

   $\big\{(x,y) : x \in (1, 2), y \in (2, 3)\big\}$

   $\{(x,x) : x \in A \cup B\}$

   $\{(x,x) : x \in A \cap B\}$