/*! 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} Q 5.159. Evaluate the following binomial ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 5.159. (page 242)

Evaluate the following binomial coefficients.

a.52b.74c.103d.125

Short Answer

Expert verified

Part (a) 10

Part (b) 35

Part (c) 120

Part (d) 792

Step by step solution

01

Part (a) Step 1. Given information.

The given binomial coefficient is:

52

02

Part (a) Step 2. Evaluate the binomial coefficient.

52=5!2!脳5-2!=5!2!脳3!=5脳41脳2=10

03

Part (b) Step 1. Evaluate the binomial coefficient 74.

74=7!4!脳7-4!=7!4!脳3!=7脳6脳51脳2脳3=35

04

Part (c) Step 1. Evaluate the binomial coefficient 103.

103=10!3!脳10-3!=10!3!脳7!=10脳9脳81脳2脳3=120

05

Part (d) Step 1. Evaluate the binomial coefficient 125.

125=12!5!脳12-5!=12!5!脳7!=12脳11脳10脳9脳81脳2脳3脳4脳5=792

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

An experiment has 40 possible outcomes, all equally likely. An event can occur in 25 ways. The probability that the event is .

Die and coin. Consider the following random experiment : First , roll a die and observe the number of dots facing up: then toss a coin the number of times that the die shows and observe the total number of heads. Thus , if the die shows three dots facing up and the coin (which is then tossed tree times) comes up heads exactly twice, then the outcome of the experiment can be represent as (3,2).

Part (a) Determine a sample space for this experiment.

Part (b) Determine the events that the total number of heads is even.

If you sum the probabilities of the possible values of a discrete random variable, the result always equals .

Refer to the exercise 5.66. Among the events A, B, C and D, identify the collection of events that are mutually exclusive.

What does it mean two events to be mutually exclusive.?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

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.