Abstract
One-to-one random mappings of the set 1, 2,..., n onto itself are considered. Limit theorems are proved for the quantities μi, 0≤i≤n, max μi, min μi, where μi is the number of 0≤i≤n components of the vector (α1, α2,..., αn) which are equal to i, 0< i< n, and ar is the number of components of dimension r of the random mapping.
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