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MathNet 2007-part-03 — 185 problems (EN–VI) Question 123

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 123

Michael has $16$ white socks, $3$ blue socks, and $6$ red socks in a drawer. Ever the lazy college student, he has overslept and is late for his favorite team's season-opener. Because he is now in such a rush to get from Harvard to Foxborough, he randomly takes socks from the drawer (one at a time) until he has a pair of the same color. What is the largest number of socks he could possibly withdraw in this fashion?