/*! 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. 59 A baseball team has 15 members. ... [FREE SOLUTION] | 91影视

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Chapter 13: Q. 59 (page 856)

A baseball team has 15 members. Four of the players are pitchers, and the remaining 11 members can play any position. How many different teams of 9 players can be formed

Short Answer

Expert verified

660 ways

Step by step solution

01

. Given Information

We are given that there are four pitcher and 11 players can play in any position, we need to find how many different teams of 9 players can be formed

02

. Finding the number of teams

We know that for a team we should have one pitchers and 8 others players so we need to choose 1 pitcher from 4 and 8 players from 11 to from a teams, so the number of teams that can be formed is :

C(4,1)脳C(11,8)=4!1!3!脳11!8!3!

4脳3!3!脳11脳10脳9脳8!8!脳3脳2脳1=4脳11脳10脳93脳2

4脳11脳5脳3=660ways

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The faculty of the mathematics department at Joliet Junior College is composed of 4 females and 9 males. Of the 4 females, 2 are under age 40, and of the males 3 are under age 40. Find the probability that a randomly selected faculty member is:

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