MTH202 GDB Solution 2016

Solution:-

Part a:

The chief executive officer (CEO) can be elected in 15 different ways, following this general manager (GM)) can be elected in 15 different ways, and also head of department (HOD) can be elected in 15 different ways.

Thus by product rule, there are

                        n=15 x 14 x 13 = 2730

Part b:

A panel of three members

                        n=15 x 14 x 13 x 12!/(15-3)! 3!

                          =15 x 14 x 13 x 12!/12! 3!

                          =15 x 14 x 13/3 x 2 x 1

                          =5x 7 x 13

                          =455