The set S=\{1,2,3,\dots,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?

**Answer Choices**

A. 8

B. 9

C. 16

D. 17

E. 18

The set S=\{1,2,3,\dots,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?

**Answer Choices**

A. 8

B. 9

C. 16

D. 17

E. 18