/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 22 Evaluate each factorial expressi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Problem 22

Evaluate each factorial expression. \(\frac{106 !}{104 !}\)

Short Answer

Expert verified
The value of \(\frac{106 !}{104 !}\) is 11130.

Step by step solution

01

Understanding Factorials

The factorial of a non-negative integer n, is the product of all the positive integers less than or equal to n. But also note that the factorial operation has this property: n! = n * (n-1)!.
02

Algebraic Manipulation

Express the factorial expression in terms of smaller factorials. Write \(\frac{106 !}{104 !}\) as \(\frac{106 * 105 * 104 !}{104 !}\).
03

Simplifying the Expression

Now, 104 ! in the numerator and 104 ! in the denominator will cancel out each other. That leaves us with the expression: 106 * 105.
04

Final Calculation

Perform multiplication: 106 * 105 = 11130.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

What does the expected value for the outcome of the roll of a fair die represent?

Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. My expected value in a state lottery game is \(\$ 7.50\).

Make Sense? In Exercises 26-29, determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the Fundamental Counting Principle to determine the number of five- digit ZIP codes that are available to the U.S. Postal Service.

In Exercises 43-48, an ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of apple juice.

Evaluate each factorial expression. \(\frac{29 !}{25 !}\)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.