In how many ways can cells in a 3 × 3 grid be shaded, such that each row and…

GATE · 2023 · CE · Set 2 · General AptitudeGATE · 2023 · MN · General Aptitude

In how many ways can cells in a 3 × 3 grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown.

3 × 3 grid with the top-left, center, and bottom-right cells shaded black; the other six cells are unshaded.
  1. A.

    2

  2. B.

    9

  3. C.

    3

  4. D.

    6

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