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ssollers
11.07.2019 •
Mathematics
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?
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Ответ:
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
Ответ:
This can be done in 1680 ways
Further explanationThe probability of an event is defined as the possibility of an event occurring against sample space.
![\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }](/tpl/images/0076/3615/174e9.png)
Permutation ( Arrangement )Permutation is the number of ways to arrange objects.
![\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }](/tpl/images/0076/3615/76ba7.png)
Combination ( Selection )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
Learn moreDifferent Birthdays : linkDependent or Independent Events : linkMutually exclusive : linkAnswer detailsGrade: High School
Subject: Mathematics
Chapter: Probability
Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation , Researcher , Fish , Arrangement
Ответ:
Can I. Use this because i need help with this to I have this for homework
Step-by-step explanation: