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#32 Crossed out of order
set by Paul Taylor
If we write the numbers 1 to 4 down in the order 3, 1, 4, 2 and then cross out the 1, the remaining sequence starts with the middle number out of the ones that are left, followed by the largest and then the smallest. (If we had crossed out a different number instead, this wouldn’t be true.)
Find the order for the numbers 1 to 4 where crossing out any single number except the 1 always leaves the remaining sequence in middle-largest-smallest order.
If we write down the numbers 1…
