Aresearcher randomly selects 4 fish from among 8 fish in a tank and puts each of the 4 selected fish into different containers. how many ways can this be done?

This can be done in 1680 ways

The probability of an event is defined as the possibility of an event occurring against sample space.

Permutation is the number of ways to arrange objects.

Combination is the number of ways to select objects.

Let us tackle the problem.

This problem is about Permutation.

A researcher randomly selects 4 fish from among 8 fish in a tank and puts each of the 4 selected fish into different containers.

It means that we arrange 4 objects out of 8 objects.

This can be done in 1680 ways

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation , Researcher , Fish , Arrangement

The number of fish is limited, so every attempt will decrease. That mean the chance will be dependent, but the order is not important.

The number of ways to take 4 fish out of 8 fish would be:

8!/4!(8-4)!= 70 ways

If there is 4 different container and you have 4 fish, then the order is important. The number of ways to do it would be: 4!/(4-4)!= 24 ways.

The total of possible ways of these two event would be: 70 *24= 1680 ways

the answer is 2/54

step-by-step explanation: