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

A)   only the factorial function.

B)   the labeling formula.

C)   the permutation formula.

D)   the multiplication rule of counting.

2、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)   Combination formula.

B)   Multiplication rule of counting.

C)   Labeling formula.

D)   Permutation formula.

答案和详解如下：

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

A)   only the factorial function.

B)   the labeling formula.

C)   the permutation formula.

D)   the multiplication rule of counting.

The correct answer was A)    

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

2、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)   Combination formula.

B)   Multiplication rule of counting.

C)   Labeling formula.

D)   Permutation formula.

The correct answer was C)

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.