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Chapter 13: Q. 1 (page 842)

$0! =_; 1! =_$

Short Answer

Expert verified

The required values are $0! = 1$ and $1! = 1$ .

Step by step solution

01

Step 1. Given information.

The given statement is:

$0! =_______; 1! =_______$

02

Step 2. Determine the missing values for the blanks.

The factorial of an integer $n \geq 0$ is:

$0! = 1 1! = 1$

For $n \geq 2$ ,

$n! = n (n - 1) (n - 2) \cdot \dots \cdot 3 \cdot 2 \cdot 1$

03

Step 3. Conclusion.

The required values are $0! = 1$ and $1! = 1$ .

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Most popular questions from this chapter

Two fair dice are rolled.

Determine the probability that the sum of the two dice is 12.

Problems 63–66 are based on a consumer survey of annual incomes in 100 households. The following table gives the data.

What is the probability that a household has an annual income of $20,000 or more?

Use the formula $C (n, r) = \frac{n!}{(n - r)! r!}$ to find the value of each combination.

$C (18, 1)$

Use the formula $C (n, r) = \frac{n!}{(n - r)! r!}$ to find the value of each combination.

$C (8, 6)$

Determine whether the following is a probability model.

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