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Omni-MATH / At a meeting of 12k people, each person exchanges greetings with exactly 3kplus{}6 others. For any two people, the number who exchange greetings with both is the same. How many pe…

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problem

At a meeting of 12k 12k people, each person exchanges greetings with exactly $ 3k\plus{}6$ others. For any two people, the number who exchange greetings with both is the same. How many people are at the meeting?
Plain-text mathematical notation (without MathML)
At a meeting of 12k people, each person exchanges greetings with exactly $ 3k\plus{}6$ others. For any two people, the number who exchange greetings with both is the same. How many people are at the meeting?
Original LaTeX notation
At a meeting of $ 12k$ people, each person exchanges greetings with exactly $ 3k\plus{}6$ others. For any two people, the number who exchange greetings with both is the same. How many people are at the meeting?

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