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SASMO 2022 Grade 6 Question 25

SASMO · SASMO 2022 Grade 6

Question 25

A number uses only the digits 1, 2, 3, 4, 5 and 6. Digits may repeat, but adjacent digits must differ. Once an adjacent pair occurs, the same ordered pair cannot occur again. How many digits are in the largest such number?

Count every adjacent pair, including overlapping pairs; 12 and 21 are different ordered pairs.

Input: enter the requested whole-number answer without units. Leading zeroes from the paper grid may be omitted.