Question: Professor Diane gave her chemistry class a test consisting of three questions. There are 21 students in her class, and every student answered at least

Professor Diane gave her chemistry class a test consisting of three questions. There are 21 students in her class, and every student answered at least one question. Five students did not answer the first question, seven failed to answer the second question, and six did not answer the third question. If nine students answered all three questions, how many answered exactly one question?

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