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Reading 8: Probability Concepts - LOS n, (Part 1) ~ Q1-2

Q1. If a firm is going to create three teams of four from twelve employees. Which approach is the most appropriate for determining how the twelve employees can be selected for the three teams?

A)  Labeling formula.

B)  Permutation formula.

C)  Combination formula.

Q2. For the task of arranging a given number of items without any sub-groups, this would require:

A) the labeling formula.

B) only the factorial function.

C) the permutation formula.

答案和详解如下:

Q1. If a firm is going to create three teams of four from twelve employees. Which approach is the most appropriate for determining how the twelve employees can be selected for the three teams?

A)  Labeling formula.

B)  Permutation formula.

C)  Combination formula.

Correct answer is A)

This problem is a labeling problem where the 12 employees will be assigned one of three labels. It requires the labeling formula.

In this case there are [(12!) / (4!4!4!)] = 34,650 ways to group the employees.

Q2. For the task of arranging a given number of items without any sub-groups, this would require:

A) the labeling formula.

B) only the factorial function.

C) the permutation formula.

Correct answer is B)

The factorial function, denoted n!, tells how many different ways n items can be arranged where all the items are included.

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