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MathNet 2020 — Math Olympiad Vault — Part 05 Question 47

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

Question 47

Joana must place three tokens on a $5\times5$ board whose squares are numbered 1 through 25, at most one token per square. In how many ways can she do this if:

a) The three tokens have different colors?

b) The three tokens are identical?

c) The tokens have different colors and no two may be in the same row or column?