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IMAS 2018 Junior Round 1 Question 13

IMAS · IMAS 2018 Junior Round 1

Question 13

Shade 3 unit squares on the $3\times3$ grid below, such that there must be two shaded squares in some row and two shaded squares in some column but it must not have three shaded squares in any row or column. Find the total number of ways in shading the figure.

Question illustration
  1. 6
  2. 18
  3. 36
  4. 54
  5. 72