Questions: A management selection service classifies its applicants (using tests and interviews) as accounting, computer science, business, or advertising and as experienced or inexperienced. Complete parts (A) and (B) below. (A) Construct a tree diagram for the classification of applicants. Choose the correct diagram below. (B) Write an expression that applies the multiplication principle. (Do not simplify.)

A management selection service classifies its applicants (using tests and interviews) as accounting, computer science, business, or advertising and as experienced or inexperienced. Complete parts (A) and (B) below. (A) Construct a tree diagram for the classification of applicants. Choose the correct diagram below. (B) Write an expression that applies the multiplication principle. (Do not simplify.)
Transcript text: A management selection service classifies its applicants (using tests and interviews) as accounting, computer science, business, or advertising and as experienced or inexperienced. Complete parts (A) and (B) below. (A) Construct a tree diagram for the classification of applicants. Choose the correct diagram below. (B) Write an expression that applies the multiplication principle. $\square$ (Do not simplify.)
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Solution

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Solution Steps

Step 1: Analyze the classification criteria

Applicants are classified by two criteria: their field (Accounting, Computer Science, Business, or Advertising) and their experience level (Experienced or Inexperienced).

Step 2: Determine the correct tree diagram

The correct tree diagram should represent the two levels of classification. The first level branches out into the four fields (AC, CS, B, and AD). Each of these fields should then branch into two options: experienced (e) and inexperienced (i). This structure is shown in option B.

Step 3: Apply the multiplication principle

There are 4 fields and 2 experience levels. Using the multiplication principle, the total number of classifications is 4 * 2 = 8.

Final Answer

  1. Correct Tree Diagram: B
  2. Expression: 4 * 2
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