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Omni-MATH / Determine all pairs (h,s) of positive integers with the following property: If one draws h horizontal lines and another s lines which satisfy (i) they are not horizontal, (ii) no t…

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problem

Determine all pairs (h,s)(h, s) of positive integers with the following property: If one draws hh horizontal lines and another ss lines which satisfy (i) they are not horizontal, (ii) no two of them are parallel, (iii) no three of the h+sh+s lines are concurrent, then the number of regions formed by these h+sh+s lines is 1992.
Plain-text mathematical notation (without MathML)
Determine all pairs (h,s) of positive integers with the following property: If one draws h horizontal lines and another s lines which satisfy (i) they are not horizontal, (ii) no two of them are parallel, (iii) no three of the h+s lines are concurrent, then the number of regions formed by these h+s lines is 1992.
Original LaTeX notation
Determine all pairs $(h, s)$ of positive integers with the following property: If one draws $h$ horizontal lines and another $s$ lines which satisfy (i) they are not horizontal, (ii) no two of them are parallel, (iii) no three of the $h+s$ lines are concurrent, then the number of regions formed by these $h+s$ lines is 1992.

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Source and history

task_id
750d4402-5a7c-5c96-a8fb-94263285c5e0
task_key
test--750d4402-5a7c-5c96-a8fb-94263285c5e0
task_revision_id
1
config / split
/ test

Official source

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