3.47: Selecting a mixed team

0606/12/M/J/24 — Question 4 · 6 marks

(a)
Find the number of teams of 8 that can be formed from 6 teachers, 5 doctors and 4 police officers.
[1]
(b)
Find the number of teams with no teachers.
[1]
(c)
Find the number of teams with the same number of doctors as teachers.
[4]