Solution of problem N2847 probability theory

Solution of problem N2847 probability theory

2847. In the group of 29 students, five of them were excellent at the exam, 8 people were good, 11 were satisfactory, the rest did not pass the exam. The group consists of 12 students - boys, the rest - girls. With what probability out of 12 young men 4 people got “5”, 5 students - “4”, one student - “3” and two students did not pass the exam?

Additional information:

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)