A1,...,A13 are thirteen different subsets of {1,2,3,4,5,6,7,8,9,10}. If each Aj has 6 elements for all 1≤j≤13, show that you can find three numbers between 1 and 10 which belong to at least three subsets.

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Chapter14: Counting And Probability
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A1,...,A13 are thirteen different subsets of {1,2,3,4,5,6,7,8,9,10}. If each Aj has 6 elements for all 1≤j≤13, show that you can find three numbers between 1 and 10 which belong to at least three subsets.

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