2. Three different classes contain 20, 18, and 25 students, respectively, and no student is a member of more than one class. If a team is to be composed of one student from each of these three classes, in how many different ways can the members of the team be chosen?
Answers
Step-by-step explanation:
Probability sampling refers to the selection of a sample from a population, when this selection is based on the principle of randomization, that is, random selection or chance. Probability sampling is more complex, more time-consuming and usually more costly than non-probability sampling. However, because units from the population are randomly selected and each unit’s selection probability can be calculated, reliable estimates can be produced and statistical inferences can be made about the population.
There are several different ways in which a probability sample can be selected.
and calculate the all. value
Given: Three classes containing 20, 18 and 25 students respectively
To find: The number of ways the members can be chosen from the three classes to form a team
Solution: Since it is mentioned that no student is a member of more than one class, we can select one student from each class as a member of the team.
Selection of people from a number of people is a case of combination.
Hence, we can select a student from the first class in 20 ways.
Similarly, a student can be selected from the second class in 18 ways.
Lastly, a student can be selected from the third class in 25 ways.
Therefore, the total number of ways in which the members of the team can be chosen = 20 × 18 × 25
= 9000
Answer: 9000