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MathNet 2020 — Math Olympiad Vault — Part 05 Question 41

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 05

Question 41

Consider four-digit natural numbers.

a) How many have all digits distinct?

b) How many contain the digit 1 exactly once and have all digits distinct?

c) How many contain the digit 1?