Challenging Mathematical Problems with Elementary Solutions, 第 1 卷Courier Corporation, 1987年1月1日 - 214 頁 Volume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. The problems, most of which can be solved with elementary mathematics, range from relatively simple to extremely difficult. Suitable for students, teachers, and any lover of mathematics. Complete solutions. |
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A₁ A₂ An+m arrangements B₁ b₂ binomial coefficients binomial theorem bishops black squares C₁ chessboard chord circle coefficient color column compute the number Consequently consider corresponding customers denote determine the number diagonals digits dihedral angle divided divisible draw edition equally likely possible equation equidistant equivalence classes exactly example experiment factors favorable outcomes follows formula geometric given Hence inclusion and exclusion intersection k-gons knights mathematical mathematical induction maximum number n-gon number of different number of favorable number of paths number of shortest obtain pairs partition passengers plane polygons positive integers possible outcomes Pr{E probability theory prove queens rectangle relatively prime remaining required probability rooks S₁ segment sequence shortest paths side solution to problem solved sphere square controlled Suppose T₂ theory total number triangle unfavorable values vertex vertices