Question

Two students have to be chosen as monitors from a class of 36 students. in how many different ways can this be done

Answer 1

Total no of students in class = 36
No of students chosen as monitors = 2
There is no other condition, hence we can directly apply combination concept of choosing 2 students out of 36 = 36_$C_{2}$
                                                                  = $\frac{36!}{2! * 34!}$
                                                                  = $\frac{36 * 35 * 34!}{2* 1*34!}$
                                                                  = 18*35
                                                                  = 630

Ans: 630

Answer 2

Here is the answer in the attachment