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Omni-MATH / The set S={1,2,3,…,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?

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problem

The set S={1,2,3,…,49,50}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 SS?
Plain-text mathematical notation (without MathML)
The set S={1,2,3,…,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?
Original LaTeX notation
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 $S$?

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