310.Five Friends in Age Order
★★★combinatoricsSIG
Five friends, all of different ages, sit down at random around a circular table with five seats. What is the probability that they end up in order of increasing age going around the table, in either the clockwise or the anticlockwise direction?
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Treat the seats as fixed and distinguishable. How many of the arrangements form a single unbroken age run around the circle?
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