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Australian AMC 2023 - Junior Question 24

AMC AUSTRALIA · Australian AMC 2023 - Junior

Question 24

Jaz unlocked a secret level in Numbercraft by entering a six-digit code whose first three digits have the same sum as its last three digits. She also gained a bonus because the code had four 7s in a row. For example, she could have entered 077770. How many different codes give both the secret level and the bonus?

Question illustration
  1. 10
  2. 18
  3. 20
  4. 27
  5. 64