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Cargando... Amusements in Mathematics (1917)por Henry Ernest Dudeney
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Intriguing math teasers for ages 11 up, brilliantly answered. - This excellent collection of teasers has inferential problems in arithmetic and algebra, and includes geometry, mazes, magic squares and a lot of chess-board tours. The answers are often gems in themselves -- things mentioned in passing and left to the reader to establish -- e.g. ... of the twelve ways that eight queens can be placed on a chessboard without attacking one another... At twelve years old I spent many an hour finding those twelve ways. I still find challenges in it in spite of my Masters degree in Mathematical Physics! With 430 puzzles, problems, paradoxes, and brain teasers, this book is a mammoth puzzle collection, compared with most math teasers and puzzles book available. But what is important is not the quantity, but the quality and charm of the problems presented. Each problem is presented with a full length solutions that makes the book absolutely an instructive experience for the reader. In some cases the author even discussed on how others had attacked and failed the problems. You, your freinds and family will spend many hours trying the vast array of puzzles prented in this book. No se han encontrado descripciones de biblioteca. |
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Google Books — Cargando... GénerosSistema Decimal Melvil (DDC)793.74The arts Recreational and performing arts Indoor games and amusements Non-action games, puzzles [boardgames now 794] Mathematical games and puzzlesClasificación de la Biblioteca del CongresoValoraciónPromedio:
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Fx Opgave 2: Enkens Arv. For nylig døde en Mand, som efterlod sig en Sum paa 11700 Kr., der skulde deles mellem hans Enke, fem Sønner og fire Døtre. Han havde bestemt, at hver Søn skulde arve tre Gange saa meget som en Datter, og at hver Datter skulde have dobbelt saa meget som deres Moder. Hvor stor var Enkens Arv?
Løsningen er 11700 / (1+4*2+5*3*2) = 300 Kr.
Opgave 102: Sogneraadsvalget. Ved det sidste Sogneraadsvalg i Humperup var der treogtyve Kandidater, af hvilke der skulle vælges ni. Enhver af Vælgerne havde Ret til at stemme paa ni af disse Kandidater, men han kunde godt nøjes med at stemme paa et mindre Antal; dog skulde han stemme paa mindst een Kandidat. En af Vælgerne ønsker nu at vide, paa hvor mange forskellige Maader det var muligt for ham at stemme.
Løsningen er komb(23,9) + komb(23,8) + komb(23,7) + komb(23,6) + komb(23,5) + komb(23,4) + komb(23,3) + komb(23,2) + komb(23,1) = 1698159. ( )