Challenging Mathematical Problems with Elementary Solutions, 第 1 卷Holden-Day, 1964 - 440 頁 |
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第 1 到 3 筆結果,共 26 筆
第 29 頁
... random will be divisible by 5 is nearly equal to 1/5 ( since the total number of one - dollar bills in circulation ... random is relatively prime to 6 ? That at least one of two integers selected at random is relatively prime to 6 ? 87a ...
... random will be divisible by 5 is nearly equal to 1/5 ( since the total number of one - dollar bills in circulation ... random is relatively prime to 6 ? That at least one of two integers selected at random is relatively prime to 6 ? 87a ...
第 34 頁
... random . ” In all cases where any doubt can arise as to the meaning of this term , it is necessary to make precise in the statement of the problem how the term is to be understood ; without this the problem will not have an unambiguous ...
... random . ” In all cases where any doubt can arise as to the meaning of this term , it is necessary to make precise in the statement of the problem how the term is to be understood ; without this the problem will not have an unambiguous ...
第 35 頁
... random " as meaning that the probability that this ray lies within a given angle ✪ depends only on the magnitude of 0 and not on its position ( as long as 0 is on the same side of t as the circle . ) Since the angles of an equilateral ...
... random " as meaning that the probability that this ray lies within a given angle ✪ depends only on the magnitude of 0 and not on its position ( as long as 0 is on the same side of t as the circle . ) Since the angles of an equilateral ...
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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 equally likely possible equation equidistant equivalence classes exactly example experiment favorable outcomes follows formula given Hence inclusion and exclusion intersection k-gons knights L₁ length mathematical induction maximum number n-gon number of different number of favorable number of paths number of shortest obtain pairs partition passengers plane points A1 polygons positive integers possible outcomes Pr{E probability theory problem 54 prove queens rectangle relatively prime remaining required probability rooks segment selected at random sequence shortest paths side solution to problem solved sphere square controlled Suppose T₂ total number triangle unfavorable values vertex vertices