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I have a calculator that can display ten digits. How many different ten-digit numbers can I type using just the 0-9 keys once each, and moving from one keypress to the next using the knight’s move in chess? (In chess, the knight move in an L-shape – one square up and two across, two squares down and one across, two squares up and one across, and other like combinations)

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Answer:

It has to start on 5 and then go to 0, or else not all of the numbers will go in the knight move pattern. Β 

We have 5034927618 and 5038167294, plus their opposites (the same number backwards). So only 4 numbers can be formed.

Step-by-step explanation:

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