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Omni-MATH / There is a 6×6 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 a…

Problem

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problem

There is a 6×66 \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.
Plain-text mathematical notation (without MathML)
There is a 6×6 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.
Original LaTeX notation
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.

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Source and history

task_id
4964c81f-c1fa-5ee3-b170-00678db4077f
task_key
test--4964c81f-c1fa-5ee3-b170-00678db4077f
task_revision_id
1
config / split
/ test

Official source

initial import