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Answer to Question #37173 in Combinatorics | Number Theory for Suleyman

Question #37173
Using a pool of problems, 20 tests will be formed.
-Every test should have the same number of problems.
-Any problem should be included in at most 10 tests.
-For every 5 tests, there should be at least 2 problems common to all of them.
What can be the minimum number of problems in this pool?
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