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Denote by $\\mathcal C(o, n)$ (resp. $\\mathcal C'(o, n)$) the set of (resp. primitive) conjugacy classes of pointed length at most $n$ for a basepoint $o$. The main result is an asymptotic formula as follows: $$\\sharp \\mathcal C(o, n) \\asymp \\sharp \\mathcal C'(o, n) \\asymp \\frac{\\exp(\\omega(G)n)}{n}.$$ A similar formula holds for conjugacy classes using stable length. 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