(A) Given $G = \{7, 8\}$ and $H = \{5, 4, 2\}$.The Cartesian product $P \times Q$ of two non-empty sets $P$ and $Q$ is defined as the set of all order

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$G \times H = \{(7, 5), (7, 4), (7, 2), (8, 5), (8, 4), (8, 2)\}, H \times G = \{(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)\}$

(A) Given $G = \{7, 8\}$ and $H = \{5, 4, 2\}$.The Cartesian product $P \times Q$ of two non-empty sets $P$ and $Q$ is defined as the set of all ordered pairs $(p, q)$ such that $p \in P$ and $q \in Q$.Therefore,$G \times H = \{(7, 5), (7, 4), (7, 2), (8, 5), (8, 4), (8, 2)\}$.Similarly,$H \times G = \{(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)\}$.

Class 11 Mathematics Relations and Functions Cartesian Products of Sets

Medium

If $G = \{7, 8\}$ and $H = \{5, 4, 2\}$,find $G \times H$ and $H \times G$.

A
$G \times H = \{(7, 5), (7, 4), (7, 2), (8, 5), (8, 4), (8, 2)\}, H \times G = \{(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)\}$
B
$G \times H = \{(5, 7), (4, 7), (2, 7), (5, 8), (4, 8), (2, 8)\}, H \times G = \{(7, 5), (7, 4), (7, 2), (8, 5), (8, 4), (8, 2)\}$
C
$G \times H = \{(7, 5), (8, 5), (7, 4), (8, 4), (7, 2), (8, 2)\}, H \times G = \{(5, 7), (4, 7), (2, 7), (5, 8), (4, 8), (2, 8)\}$
D
$G \times H = \{(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)\}, H \times G = \{(7, 5), (7, 4), (7, 2), (8, 5), (8, 4), (8, 2)\}$