Henry Ernest Dudeney/Puzzles and Curious Problems/345 - The Egg Cabinet
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Puzzles and Curious Problems by Henry Ernest Dudeney: $345$
- The Egg Cabinet
- A man has a cabinet for holding birds' eggs.
- There are $12$ drawers, and all -- except the first drawer, which holds the catalogue -- are divided into cells by intersecting wooden strips,
- running the entire length or width of a drawer.
- The number of cells in any drawer is greater than that of the drawer above.
- The bottom drawer, No. $12$, has $12$ times as many cells as strips,
- No. $11$ has $11$ times as many cells as strips, and so on.
- Can you show how the drawers were divided -- how many cells and strips in each drawer?
- Give the smallest possible number in each case.
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Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Unclassified Problems: $345$. -- The Egg Cabinet
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $252$. The Egg Cabinet