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MathNet 2023-part-07 — 187 problems (EN–VI) Question 114

Math Olympiad Vault · MathNet 2023-part-07 — 187 problems (EN–VI)

Question 114

There is a $6 \times 6$ grid of lights. There is a switch at the top of each column and on the left of each row. A light will only turn on if the switches corresponding to both its column and its row are in the "on" position. Compute the number of different configurations of lights.