Chapter 12: Q 15. (page 808)

In Problems 11–16, evaluate each factorial expression.
$\frac{3! 7!}{4!}$

Short Answer

Expert verified

The value of the given factorial expression is $1260$

Step by step solution

Step 1. Write the given information.

The given factorial expression is $\frac{3! 7!}{4!}$

The formula for factorial is $n! = n (n - 1)!$

Step 2. Evaluate with the help of factorial formula.

We have to solve $\frac{3! 7!}{4!}$

$\frac{3! 7!}{4!} = \frac{3! 7!}{4 \times 3!} = \frac{7!}{4} = \frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{4} = 1260$

So,

$\frac{3! 7!}{4!} = 1260$

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In Problems 11–16, evaluate each factorial expression.
$\frac{3! 7!}{4!}$

Short Answer

Step by step solution

Step 1. Write the given information.

Step 2. Evaluate with the help of factorial formula.

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In Problems 11–16, evaluate each factorial expression.3!7!4!

Short Answer

Step by step solution

Step 1. Write the given information.

Step 2. Evaluate with the help of factorial formula.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Theoretical and Mathematical Physics

Geometry

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In Problems 11–16, evaluate each factorial expression.
$\frac{3! 7!}{4!}$