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Question
n friends are dancing in a circle at a wedding reception. in how many ways can friends be arranged around the circle? 1680 ways 720 ways 560 ways 5040 ways clear all
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The number of circular - permutations of \(n\) distinct objects is \((n - 1)!\). Without knowing the number of friends (\(n\)), we cannot give a specific numerical answer. If we assume \(n=7\) (since \(6!=720\) is an option and \(7 - 1=6\)), the number of ways to arrange \(n\) friends around a circle is \((n - 1)!\). So if \(n = 7\), the number of arrangements is \(720\) ways. So the answer is: 720 ways