Difference between revisions of "1979 USAMO Problems/Problem 5"

Revision as of 23:44, 11 April 2012

Let $A_1,A_2,...,A_{n+1}$ be distinct subsets of $[n]$ with $|A_1|=|A_2|=\cdots =|A_n|=3$ . Prove that $|A_i\cap A_j|=1$ for some pair $\{i,j\}$ .

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 ==Solution==
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+==See also==
 {{USAMO box|year=1979|num-b=4|after=Last Problem}}

1979 USAMO (Problems • Resources)
Preceded by Problem 4	Followed by Last Problem
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All USAMO Problems and Solutions