/*! 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} Q19. Evaluate each expression聽C10,4... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q19. (page 641)

Evaluate each expression

C10,4

Short Answer

Expert verified

The value of C10,4=210.

Step by step solution

01

Step 1. Given Information.

Given to evaluate the expression C10,4.

02

Step 2. Calculation.

When n objects are available and r are to be picked then the number of combinations is given by Cn,r=n!n-r!r!

Here n=10,r=4

Plugging the values:

C10,4=10!10鈭�4!4!C10,4=10!6!4!C10,4=10鈰�9鈰�8鈰�7鈰�6!6!鈰�4鈰�3鈰�2鈰�1C10,4=210

03

Step 3. Conclusion.

Hence, the value of C10,4=210.

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

How many different 5-digit codes are possible using the keypad shown at the right if the first digit cannot be 0 and no digit may be used more than once?

The members of the Math Club need to elect a president and a vice-president. They determine that there are a total of 272 ways that they can fill the positions with two different members. How many people are in the Math Club?

Evaluate each expression

P5,3

Each question on a five-question multiple-choice quiz has answer choices labelled A, B, C, and D. How many different ways can a student answer the five questions?

Determine whether each situation involves a permutation or a combination. Then find the number of possibilities.

The winner and first, second, and third runners-up in a contest with 10 finalists.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

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.