Question

There is a question bank of 625 math problems on the topics Algebra, Geometry and Number Theory. You are given the task of preparing a question paper by selecting a few questions randomly from the question bank without looking at them but the question paper should have at least 5 Algebra questions or at least 7 Geometry questions or at least 11 Number Theory questions. What is the smallest number of questions that you should select in order to guarantee the above criterion?​

Answer 1

Answer:

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