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Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A sports storeroom contains three types of bats: cricket bats, table tennis bats and baseball bats. On Monday, some children each remove two bats chosen at random. What is the smallest number of children who could remove bats to be sure that at least two of them have exactly the same types of bat?

(A) $8$ (B) $7$ (C) $6$ (D) $5$ (E) $4$

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