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MathNet 2010 — Part 01 Question 169

Math Olympiad Vault · MathNet 2010 — Part 01

Question 169

Find all eight-digit numbers formed only with the digits $1$, $2$, $3$ and $4$, each twice, that:
a. there is a single digit between the two digits $1$;
b. There are two digits between the two digits $2$;
c. There are three digits between the two digits $3$;
d. There are four digits between the two digits $4$.