A small university has 5 academic departments. A committee of 3professors is going to be formed, where the 3 professors can be from any department.So one possibility is that all 3 professors could be from the Art Department; anotheris that 2 could be from History and 1 from Dance; another is that 1 could be fromMathematics, 1 from Dance, and 1 from Engineering. How many possibilities arethere?
A small university has 5 academic departments. A committee of 3professors is going to be formed, where the 3 professors can be from any department.So one possibility is that all 3 professors could be from the Art Department; anotheris that 2 could be from History and 1 from Dance; another is that 1 could be fromMathematics, 1 from Dance, and 1 from Engineering. How many possibilities arethere?
Given that a small university has academic departments namely, Art department, History, Dance, Mathematics and Engineering department. A committee of professors is going to formed.
Let be total number of professors from Art department.
be total number of professors from History.
be total number of professors from Dance.
be total number of professors from Mathematics.
be total number of professors from Engineering.
Since a committee of professors is going to be formed, therefore:
.
Step by step
Solved in 2 steps
