DISINI 2001Gauss8Contest
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If you are only allowed to interchange the positions of the two neighboring discs in a single move, what is the least number of moves required to get all the dark discs together
(a) Find five positive integers, not necessarily different, whose sum is equal to their product.. (b) Show that the problem in (a) has at least
The ant’s path is equal to five edges of the cube (the portions at the bottom and top of the front face together make up one edge), so the total length in cm is 5 × 12 = 60..
Every one of the 65 matrics at Harmony College does at least one of the subjects Art, Biology, Commerce, and no student does all three.. The number doing Art and Biology is twice
For each of these three choices, the odd lockers must be painted with the two remaining colours (there is no choice of the colours), making sure to use each colour on at least
If he is to be sure that, no matter which choice of N marbles he removes, there are at least four marbles of one colour and at least three marbles of another colour left in the
Therefore, we need at least 8 legal moves in which the number of marbles in pail P decreases (and potentially some where the number of marbles in pail P increases).. If the
A number of cubes are stacked as shown seen in the figure below.. The highest level consists of one cube, the second highest level consists of 3 × 3 cubes, the third highest
