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Data managment question 2? |
An art gallery has reserved ten display locations for a show. The artist has ten paintings but is uncertain how to display them. She insists on trying every possible arrangement before making her decision. If she takes 1 minute to set up and view each arrangement and works 10 hours a day for 6 days a week, how many years will it take her to decide? It will take her 20.0707 years to decide. This is a permutation of this kind Pn=n! If n=10 then n!=10! 10!=10.9.8.7.6.5.4.3.2.1. 10! = 3628800 On the other hand, each arrangement takes 1 minute. As the permutations equal each arrangement that can be maid, to know how many years it would take for her to decide the arrangement, we have to divide the number of possible arrangements by the number of arrangements that she can make each year She can make each year 180800 arrangements, taking into account that she makes 1 arrangement per minute, that she works 10h/day (600 minutes); and that, working 6 days a week, and that the year has 48 weeks. So 3628800/180800=20.07079646018. |
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