1. In a certain government office, there are 400 employees. Among them are 150 men, 276 university graduates, 212 married persons, 94 male university graduates, 151 married university graduates, 119 married men and 72 married male university graduates. Find the number of single women who are not university graduates.

2. A factory inspector examined the defects in hardness, finish and dimension of an item. After examining 100 items, he gave the following report: All three defects 5, defects in hardness and finish 10, defects in dimension and finish 8, defects in dimension and hardness 20. Defects in finish 30, in hardness 23 and in dimension 50. The inspector was fired. Why?​