Question

a club has 5 members. from these members, the positions of president and vice-president have to be filled. how many different ways can these 2 positions be fille?

Answer 1

There are 5 choices for president, then after that, 4 people is left for the position of the vice president, therefore, there are
5*4 ways

Answer:
20 ways

Answer 2

There are 20 different ways can these 2 positions be filled.

Given that,

A club has 5 members.

from these members, the positions of president and vice-president have to be filled.

We have to determine,

How many different ways can these 2 positions be filled?

According to the question,

The number of ways can these 2 positions are filled is determined by using combination

Total number of members = 5

There are 5 choices after arranging the position only 4 positions left so the number of ways of arranging people is 4.

Therefore,

The different ways can these 2 positions be filled is,

$= 5 \times 4\\\\=20$

Hence, there are 20 different ways can these 2 positions be filled.

To know more about Combination click the link given below.

https://brainly.com/question/7557302