/*! 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 19 Evaluate each factorial expressi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Problem 19

Evaluate each factorial expression. \(\frac{600 !}{599 !}\)

Short Answer

Expert verified
The evaluated expression is 600.

Step by step solution

01

Understanding Factorial

Recall that the factorial of a number n, represented as n!, equals the product of all positive integers less than or equal to n. So, 600! equals the product of all integers from 1 to 600, and 599! equals the product of all integers from 1 to 599.
02

Simplifying the Expression

Given the expression \(\frac{600 !}{599 !}\) we know that 600! and 599! share a lot of identical factors, namely all the integers from 1 to 599. Those will cancel each other out when we divide 600! by 599!. Therefore, the expression simplifies to just 600.
03

Evaluate the Simplified Expression

Since the simplified expression is 600, there are no further steps required to evaluate it. The evaluated expression is 600.

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

License plates in a particular state display two letters followed by three numbers, such as AT- 887 or BB-013. How many different license plates can be manufactured for this state?

A fair coin is tossed two times in succession. The set of equally likely outcomes is \(\\{H H, H T, T H, T T\\}\). Find the probability of getting at least one head.

To win at LOTTO in the state of Florida, one must correctly select 6 numbers from a collection of 53 numbers (1 through 53). The order in which the selection is made does not matter. How many different selections are possible?

There are three highways from city \(A\) to city \(B\), two highways from city \(B\) to city \(C\), and four highways from city \(C\) to city \(D\). How many different highway routes are there from city A to city D?

You need to arrange nine of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Probability and 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.