Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

Probability - Baseball Team

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 34
Joined: Thu Jun 30, 2011 4:15 amFollowed by: 1 member
Thanked: 1 times
by ntamhane » Tue Jul 26, 2011 7:34 pm
A baseball team consists of 20 players. 5 of whom are pitchers and 15 of whom are position players. If the order consists of 8 different position players and 1 pitcher, and if the pitcher always bats last in the order, which of the following expressions gives the number of possible different batting orders for this baseball team?

A. (15!)*(5)/8!
B. (15!)*(5)/7!
C. (15!)*(5!)/7!
D. 15!*5
E.20!

I go the answer [spoiler](15!)*5/8!*7! which is not a choice.[/spoiler] where am i going wrong
Top
Join the discussion
Source: — Problem Solving |
Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members
Location: India
Thanked: 375 times

by Frankenstein » Tue Jul 26, 2011 8:02 pm
Hi,
I guess you are just picking 8 players from 15. So, you used 15C8. But, here we have to arrange those 8 players. This can be done in 15P8, and the last position can be filled in 5 ways.
So, the number of ways should be (15P8)*5 = 15!*5/7!

Hence, B
Cheers!

Things are not what they appear to be... nor are they otherwise
Top
Join the discussion
User avatar
Master | Next Rank: 500 Posts
Posts: 142
Joined: Mon Jan 10, 2011 8:03 am
Thanked: 19 times

by krishnasty » Tue Jul 26, 2011 8:09 pm
I guess you are taking combination...
we have to 'arrange' players here...hence, use permutation
---------------------------------------
Appreciation in thanks please!!
Top
Join the discussion