જો $G = \{7, 8\}$ અને $H = \{5, 4, 2\}$ હોય,તો $G \times H$ અને $H \times G$ શોધો.

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

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જો $P = \{1, 2\}$ હોય,તો $P \times P \times P$ ગણ બનાવો.

જો $A = \{a, b\}$,$B = \{c, d\}$,અને $C = \{d, e\}$ હોય,તો ગણ $\{(a, c), (a, d), (a, e), (b, c), (b, d), (b, e)\}$ એ કોના બરાબર છે?

ધારો કે $A = \{1, 2\}$ અને $B = \{3, 4\}$ છે. $A \times B$ શોધો. $A \times B$ ના કેટલા ઉપગણો હશે? તેમને યાદી સ્વરૂપે લખો.

ધારો કે $A=\{1,2\}, B=\{1,2,3,4\}, C=\{5,6\}$ અને $D=\{5,6,7,8\}$ છે. ચકાસો કે $A \times (B \cap C) = (A \times B) \cap (A \times C)$.

જો $\left(\frac{x}{3}+1, y-\frac{2}{3}\right)=\left(\frac{5}{3}, \frac{1}{3}\right)$ હોય,તો $x$ અને $y$ ની કિંમતો શોધો.

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