/*! 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. 56 A defensive football squad consi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q. 56 (page 856)

A defensive football squad consists of 25 players. Of these, 10 are linemen, 10 are linebackers, and 5 are safeties. How many different teams of 5 linemen, 3 linebackers and 3 safeties can be formed?

Short Answer

Expert verified

302400ways

Step by step solution

01

. Given Information

We are given a football team of 25 players having 10 linemen,10 linebackers and 5 safeties. We need to find the number of ways to make a team of 5 linemen 3 linebackers and 3 safeties

02

. Finding the number of ways 

We need to choose 5 linemen from 10 linemen and 3 linebackers from 10 linebackers and 3 safeties from 5 safeties so the numbers of ways is :

C(10,5)脳C(10,3)脳C(5,3)=10!5!5!脳10!3!7!脳5!3!2!

10脳9脳8脳7脳6脳5!5脳4脳3脳2脳1脳5!脳10脳9脳8脳7!3脳2脳1脳7!脳5脳4脳3!2脳1脳3!=10脳9脳8脳7脳65脳4脳3脳2脳10脳9脳83脳2脳5脳42

3脳2脳7脳6脳5脳3脳8脳5脳2=302400ways

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

Use the information given in the figure.

How many are in set A?

List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without repetition. What is P(4,3)?

Find the value of each permutation.

P(6,2)

Write down all the subsets ofa,b,c,d,e.

True or Falsen!=(n+1)!n.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Applied 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.