The descriptors even', factors of 240', multiple of 3', odd', prime' and square' are to be placed in some order as row and column headings around the grid in positions a, b, c, d, e and f .
The digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 are to be placed in the empty cells inside the grid so that each digit satisfies both the relevant row and column headings.
(i) Show that it is possible to complete the grid. (ii) In how many different ways can the grid be completed?
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Junior Mathematical Olympiad 2022 (2022)
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