The task set is to determine by trial and error and by mathematical analysis how many combinations of buttons in adjacent squares can be placed on the 4x4 grid.
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KEVIN WALKER MATHS COURSE WORK 1 The problem is presented as a 4x4 grid totalling 16 squares. Two counters are provided and can be placed in any position on the grid provided that they are in adjacent squares. Combinations where there are empty boxes between the counters are not valid. VALID COMBINATIONS INVALID COMBINATIONS The task set is to determine by trial and error and by mathematical analysis how many combinations of buttons in adjacent squares can be placed on the 4x4 grid. Once this has been determined the second task is to determine how many more combination would be possible if the grid was increased to 5x5 (note, the task is how many more combinations not how many combinations on a 5x5 grid). This task can be done by mathematical analysis provided that sequence patterns can by identified from the 4x4 grid although further analysis of grids patterns of 2x2 & 3x3 to...


