Question

There are 12 members who are part of the student senate group. How many ways can the teacher supervisor choose a supervisor, a secretary and a public relations officer to attend a leadership conference?

Answer 1

We want to select a supervisor,a secretary and a public relation officer from 12 members to attend a leadership conference. Therefore we want to choose 3 members in different ways without repitition. In required selection ordering during selection also matter. Therefore, we make use of permutation.

Therefore, number of ways to select a supervisor, a secretary and a public relation officer is ¹²P₃ ​​​​​=12!/(12-3)!=12!/9!=1320

Hence, there are total 1320 number of ways of required selection