Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 03 May 2015, 20:40

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A football team has 99 players. Each player has a uniform nu

Author Message
TAGS:
Senior Manager
Status: Final Lap
Joined: 25 Oct 2012
Posts: 294
Concentration: General Management, Entrepreneurship
GPA: 3.54
WE: Project Management (Retail Banking)
Followers: 3

Kudos [?]: 144 [1] , given: 85

A football team has 99 players. Each player has a uniform nu [#permalink]  08 Feb 2013, 19:12
1
KUDOS
3
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

76% (01:56) correct 24% (01:46) wrong based on 25 sessions
A football team has 99 players. Each player has a uniform number from 1 to 99 and no two players share the same number. When football practice ends, all the players run off the field one-by-one in a completely random manner. What is the probability that the first four players off the field will leave in order of increasing uniform numbers (e.g., #2, then #6, then #67, then #72,etc) ?

(A) 1/64
(B) 1/48
(C) 1/36
(D) 1/24
(E) 1/16
[Reveal] Spoiler: OA

_________________

KUDOS is the good manner to help the entire community.

Last edited by Bunuel on 09 Feb 2013, 01:01, edited 1 time in total.
Edited the question and added the OA.
Moderator
Joined: 02 Jul 2012
Posts: 1227
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 79

Kudos [?]: 841 [2] , given: 116

Re: A football team has 99 players. Each player has a uniform nu [#permalink]  08 Feb 2013, 21:00
2
KUDOS
No. of ways in which 4 people can leave the field i.e. No. of ways of arranging 4 people = 4! = 24

Out of these 24 ways, there is only one way in which they are in ascending order.

So, probability = $$\frac{1}{24}$$

_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types

Math Expert
Joined: 02 Sep 2009
Posts: 27170
Followers: 4226

Kudos [?]: 40953 [0], given: 5576

Re: A football team has 99 players. Each player has a uniform nu [#permalink]  09 Feb 2013, 01:05
Expert's post
Rock750 wrote:
A football team has 99 players. Each player has a uniform number from 1 to 99 and no two players share the same number. When football practice ends, all the players run off the field one-by-one in a completely random manner. What is the probability that the first four players off the field will leave in order of increasing uniform numbers (e.g., #2, then #6, then #67, then #72,etc) ?

(A) 1/64
(B) 1/48
(C) 1/36
(D) 1/24
(E) 1/16

Similar question to practice: devil-s-dozen-129312.html#p1063874

_________________
Re: A football team has 99 players. Each player has a uniform nu   [#permalink] 09 Feb 2013, 01:05
Similar topics Replies Last post
Similar
Topics:
1 Coach John has to form a team of 4 players to be selected from a pool 2 29 Jan 2015, 07:43
1 A deck of 52 cards is dealt out to 4 players (each player ha 4 10 Aug 2010, 09:33
10 A coach will make 3 substitutions. The team has 11 players, 16 19 Dec 2007, 12:58
A coach will make 3 substitutions. The team has 11 players, 6 29 Oct 2007, 09:01
7 basketball teams with five players each are at a 1 10 Oct 2006, 09:58
Display posts from previous: Sort by