If $A = \{ x:{x^2} - 5x + 6 = 0\} ,\,B = \{ 2,\,4\} ,\,C = \{ 4,\,5\} ,$ then $A \times (B \cap C)$ is

  • A

    $\{(2, 4), (3, 4)\}$

  • B

    $\{(4, 2), (4, 3)\}$

  • C

    $\{(2, 4), (3, 4), (4, 4)\}$

  • D

    $\{(2,2), (3,3), (4,4), (5,5)\}$

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