Four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and tre

Question

3 years ago

12

Four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and tre

asurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.
How many different leadership structures are possible?

Mathematics

1 answer:

alexdok [17] · Answer 1 · 2022-01-17T07:37:47+03:00

Answer:

So, exists 5527200 different leadership structures.

Step-by-step explanation:

We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.

Since the order of the people is important to us, we have the following:

50·49·48·47=5527200

So, exists 5527200 different leadership structures.