there are 4 instructors,9 assistant professors, and 5 associate professors in the department. a committee of 5 is selected to choose new texts books. there must be 1 instructor, 2 assistant professors, and two assocate professors on the committee. how many different ways can the committee be selected?
+23247 Since the order in which these persons are chosen, it is a combinations problem.
To choose 1 instructor from 4: 4C1 = 4
To choose 2 asst profs from 9: 9C2 = 36
To choose 2 assoc profs from 5: 5C2 = 10
To find the final answer, multiply these together: 4C1 · 9C2 · 5C2 = 4 x 36 x 10 = ...
+23247 Since the order in which these persons are chosen, it is a combinations problem.
To choose 1 instructor from 4: 4C1 = 4
To choose 2 asst profs from 9: 9C2 = 36
To choose 2 assoc profs from 5: 5C2 = 10
To find the final answer, multiply these together: 4C1 · 9C2 · 5C2 = 4 x 36 x 10 = ...
