An urn contains balls of
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different colors; there are
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balls of
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color. Balls are selected at random from the urn, one by one, without replacement, until among the selected balls
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balls of the same color appear. Find the greatest number of selections.
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An urn contains balls of $k$ different colors; there are $n_i$ balls of $i-th$ color. Balls are selected at random from the urn, one by one, without replacement, until among the selected balls $m$ balls of the same color appear. Find the greatest number of selections.