2 For 24 chairs in a classroom, there are 24 6 2045 x 1023 different arrangements of seating 24 people in the chairs a Suppose that a computer is programmed to list all of these arrangements and that the computer can list 1,000,000,000 (1 billion) arrangements per second How long will it take the computer to do this Give your answer in terms of years b Suppose also that these 24 arrangements could be printed using a small font, with 100 arrangements per sheet of paper If 500 sheets of paper is 1 inch thick, how high will the stack of printed arrangements be after all 24 arrangements have been printed Give your answer in terms of miles (If you wish, you can convert your final answer to light years )

Question

2  For 24 chairs in a classroom, there are 24    6 2045 x 1023 different arrangements of seating 24 people in the chairs  a  Suppose that a computer is programmed to list all of these arrangements and that the computer can list 1,000,000,000 (1 billion) arrangements per second  How long will it take the computer to do this  Give your answer in terms of years  b  Suppose also that these 24  arrangements could be printed using a small font, with 100 arrangements per sheet of paper  If 500 sheets of paper is 1 inch thick, how high will the stack of printed arrangements be after all 24  arrangements have been printed  Give your answer in terms of miles  (If you wish, you can convert your final answer to light years )

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2. For 24 chairs in a classroom, there are 24! = 6.2045 x 1023 different arrangements of seating 24 people in the chairs. a. Suppose

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