Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?
Explanation:
Assuming that the particular cell is not a cell at one of the corner, it has 8 adjacent cells.
Hence, 8 + 1 = 9 different numerals are required to fill the particular cell and the adjacent cells.
Earlier we have seen that 4 different numerals are required to fill a 5 × 5 matrix. Hence, 9 different numerals will be definitely sufficient to fill the 5 × 5 matrix.
Hence, option (c).
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