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Chapter 12: Q22. (page 795)

Evaluate the expression.

P6, 3

Short Answer

Expert verified

The value of the expressionP6, 3 is 120.

Step by step solution

01

Step 1. Define permutation.

When the objects are arranged so that order is important and every possible order of the objects is provided, the arrangements is called a permutation.

02

Step 2. Define the meaning of Pn, r.

The number of permutations of r objects taken from the group of n objects is given by

Pn, r=n!n−r!              ............1

03

Step 3. Evaluate the expression P6, 3.

Use equation (1) to evaluate the expression P6, 3.

P6, 3=6!6−3!=6!3!=6543!3!=6×5×4=120

Therefore, the value of the expressionP6, 3 is 120.

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Most popular questions from this chapter

To predict whether or not an issue on a ballot will pass or fail, a committee randomly calls 250 houses with area codes that are inside the voting district and asks the opinions of registered voters. Based on these efforts, the committee determines that 71%±2.5%of the voting population supports the issue. The committee concludes that the issue will pass.

a. Identify the sample.

b. Describe the population.

c. What method of data collection did the committee use: survey, experiment, or observational survey? Explain.

d. Is the sample biased or unbiased. Explain.

e. If unbiased, classify the same as simple, stratified, or systematic. Explain.

A box contains 8 red chips, 6 blue chips, and 12 white chips. Three chips are randomly drawn from the box and are not replaced.

Determine P(red, white, white).

Evaluate the expression.

C10, 3

Identify each sample, and suggest a population from which it was selected. Then classify the sample as simple, stratified, or systematic. Explain your reasoning.

Refer to the information on the left. The cooks lined up randomly within their category, and every tenth cook in each category was selected to explain the rules.

Evaluate each expression.

P(6,3)
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