a certain government office there are 400 employees, there are 150 men, 276 University graduates, 212 married persons, 94 male University graduated 151 married University graduates. Find the number?

To find the number of employees who are both male and university graduates, we can use the principle of inclusion-exclusion.

Let's denote:
M = number of men
U = number of university graduates
M∩U = number of employees who are both male and university graduates
M' = number of employees who are not men (i.e., women)
U' = number of employees who are not university graduates
M'∩U' = number of employees who are neither men nor university graduates

We are given:
M = 150
U = 276
M∩U = 94
M'∩U' = 151

Using the principle of inclusion-exclusion, we can find M∩U:
M∩U = M + U - (M'∩U' + M∩U')
M∩U = 150 + 276 - (151 + 94)
M∩U = 150 + 276 - 245
M∩U = 181

Therefore, there are 181 employees who are both male and university graduates.