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PIMSO 2022 - Mathematics - Grade 10 / Secondary 4 - National Round Question 5

PIMSO Maths · PIMSO 2022 - Mathematics - Grade 10 / Secondary 4 - National Round

Question 5

Jason partially forgot his 6-digit passcode. He correctly remembers that four of the digits are 1,2,3, and 4, in that specific order, but forgets their respective places in the passcode. He also remembers that the missing 2 digits are the same. Given this information, how many possible combinations of Jason’s passcode are there?

Count distinct digit strings; a passcode may begin with zero.