CEMC Pascal, 2011

Number theory Difficulty 2.0 Junior Find the answer Canada

The set $S = \{1, 2, 3, \ldots, 49, 50\}$ contains the first 50 positive integers. After the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set $S$ ?

(A) $8$ (B) $9$ (C) $16$ (D) $17$ (E) $18$

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