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An admission test is given by a university contains 10 true-false questions. Eight or more of...

An admission test is given by a university contains 10 true-false questions. Eight or more of the questions must be answered correctly in order to be admitted.

a. How many different ways can the answer sheet be filled out?

b. How many different ways can the answer sheet be filled out so that 8 or more questions are answered correctly?

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