benchmarks.wiki / Public workspace
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Omni-MATH / Paul fills in a 7×7 grid with the numbers 1 through 49 in a random arrangement. He then erases his work and does the same thing again (to obtain two different random arrangements o…
Problem
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problem
Paul fills in a grid with the numbers 1 through 49 in a random arrangement. He then erases his work and does the same thing again (to obtain two different random arrangements of the numbers in the grid). What is the expected number of pairs of numbers that occur in either the same row as each other or the same column as each other in both of the two arrangements?
Plain-text mathematical notation (without MathML)
Paul fills in a 7×7 grid with the numbers 1 through 49 in a random arrangement. He then erases his work and does the same thing again (to obtain two different random arrangements of the numbers in the grid). What is the expected number of pairs of numbers that occur in either the same row as each other or the same column as each other in both of the two arrangements?
Original LaTeX notation
Paul fills in a $7 \times 7$ grid with the numbers 1 through 49 in a random arrangement. He then erases his work and does the same thing again (to obtain two different random arrangements of the numbers in the grid). What is the expected number of pairs of numbers that occur in either the same row as each other or the same column as each other in both of the two arrangements?
Discussion
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Source and history
- task_id
3a093814-2763-5467-aa4e-8522b192e163- task_key
test--3a093814-2763-5467-aa4e-8522b192e163- task_revision_id
- 1
- config / split
- / test
initial import