Question

From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done? Select one:

Answer 1

Answer:

1260 ans

there are 36 Students and every one has equal chance of being selected as leader. hence leader can appointed in 36 ways, when one person is appointed as leader we are left with 35 students. =36*35=1260

Answer 2

Answer:

= 1260

Step-by-step explanation:

There are 36 students in a class.

Out of 36 students 1 is selected as a class leader and 1 is class representative.

To find in how many ways we select the leader and class representative.

SOLUTION:- We have to choose 1 class leader out of 36 students.

                    So, it is (36 C 1 ) = $\frac{36!}{(36-1)!(1!)}$

                                               =$\frac{36(35)!}{(35)1}$

                                                = 36

              After choosing the class leader , there are 35 students left .

            So, we have to choose a class representative from 35 students.

            So, it is ( 35 C 1) = $\frac{35!}{(35-1)!(1)!}$

                                       = $\frac{(35)(34)!}{34!}$

                                       = 35.

Therefore total number of ways the both class leader and class representative can be selected = 36 × 35

                                                    = 1260

THANKS.