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MathNet 2008-part-05 — 164 problems (EN–VI) Question 137

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 137

a. Write $1$ as a sum of $4$ distinct unit fractions.

b. Write $1$ as a sum of $5$ distinct unit fractions.

c. Show that, for any integer $k \gt 3$, $1$ can be decomposed into $k$ unit fractions.