Question

Four members from a 44 person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and treasurer. The first person selected is the​ chairperson; the​ second, the​ vice-chairperson; the​ third, the​ secretary; and the​ fourth, the treasurer. How many different leadership structures are​ possible?

Answer 1

Solution:-

We have N=44 persons committee.

We have to select n=4 different persons randomly from N=44 persons to serve as

chairperson,

vice-chairperson,​

secretary,

and treasurer.

##Question )How many different leadership structures are​ possible?

-------> By method of "Simple Random Sampling" ,

The sample of size n are randomly selected from population size N in NCn ways.

Therefore

The n =4 are randomly selected from  N=44  in 44C4 ways.

Hence,

The n =4 person are randomly selected from  N=44  persons in 1,35,751 ways.

Result:-

There are 1,35,751 different leadership structures are​ possible.