Question: A price draw allows you to enter by picking three numbers from {1, ..., 14}. You will win a price if you choose two of

A price draw allows you to enter by picking three numbers from {1, ..., 14}. You will win a price if you choose two of the three numbers that they will draw. Show that it is possible to guarantee a win by having 14 entries in the draw. [HINT: Use the Fano plane (7, 3, 1)-design]

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