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A true-false quiz contains six questions. In how many ways can a student answer the questions if the student answers two of the questions with "false" and the other four with "true"?

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Answer: In each question you have two options, T and F. Then in 6 questions you have 2 options for the first, two for the second, two for the third... At the end you get 2·2·2·2·2·2 = 26 options and 26 = 64.

Explanation:

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