The road less traveled

Discrete Mathematics Level 3

Suppose a small country has \(15\) cities and \(70\) roads, where each road directly connects precisely \(2\) cities. What is the largest possible number of cities that are directly connected to every other city?

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100 Day Summer Challenge

The road less traveled

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Community

100 Day Summer Challenge

The road less traveled

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.