Last visit was: 27 Apr 2026, 04:42 It is currently 27 Apr 2026, 04:42
Home
Messages
Tests
Schools
Events
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
rc1979
User avatar
Joined: 04 Feb 2004
Last visit: 28 Feb 2006
Posts: 22
Own Kudos:
12
Location: USA
Posts: 22
Kudos: 12
Baseball team consists of 20 players, 5 of whom are pitchers 23 Apr 2005, 18:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Baseball team consists of 20 players, 5 of whom are pitchers and 15 position players. If the batting order consists of 8 differnet position players and 1 pticher, and if the pitcher is always last in the order, then how many different batting orders are there for this baseball team?



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
Tyr
User avatar
Joined: 22 Apr 2005
Last visit: 18 May 2008
Posts: 75
Own Kudos:
5
Location: Los Angeles
Posts: 75
Kudos: 5
Baseball team consists of 20 players, 5 of whom are pitchers 23 Apr 2005, 22:35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We are picking ordered combinations of 8 from 15.
It is 8P15 = 15!/(15-8)!
For each ordered combination we are independetly picking one out of 5 pitchers.

X = 5 * 15! / 7!
User avatar
Antmavel
User avatar
Current Student
Joined: 13 Jun 2004
Last visit: 05 Apr 2014
Posts: 581
Own Kudos:
134
Location: London, UK
Schools:Tuck'08
Posts: 581
Kudos: 134
Baseball team consists of 20 players, 5 of whom are pitchers 25 Apr 2005, 19:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Agree with Tyr

my "old-school" method :P : (15*14*13*12*11*10*9*8)*5
which is the same than 15!*5/7! :wink:
User avatar
Rupstar
User avatar
Joined: 15 Feb 2005
Last visit: 12 Apr 2007
Posts: 116
Own Kudos:
13
Location: Rockville
Posts: 116
Kudos: 13
Baseball team consists of 20 players, 5 of whom are pitchers 26 Apr 2005, 08:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
rc1979
Baseball team consists of 20 players, 5 of whom are pitchers and 15 position players. If the batting order consists of 8 differnet position players and 1 pticher, and if the pitcher is always last in the order, then how many different batting orders are there for this baseball team?
Show more

Just to clarify incase the question was how many different teams can be selected then we would use 15C8 instead of 15P8 right?



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!