A class has `175` students, The following description gives the number of students studying one or more of the subjects in this class, Mathematics `10

A class has `175` students, The following description gives the number of students studying one or more of the subjects in this class, Mathematics `100`, physics `70`, chemistry `46`, Mathematics and physics `30`, mathematics and chemistry `28`, physics and chemistry `23`, mathematics, physics and chemistry alone `18`,
(i) how many students are enrolled in mathematics alone, physics alone and children alone,
(ii) the number of students who have not offered any of these subjects.