Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 May 2017, 05:58

### 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

# John and bill are among five runners in a race where there

Author Message
Intern
Joined: 23 Aug 2006
Posts: 26
Followers: 0

Kudos [?]: 1 [0], given: 0

John and bill are among five runners in a race where there [#permalink]

### Show Tags

18 Oct 2006, 14:47
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 2 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

John and bill are among five runners in a race where there are no ties. How many ways is it possible for John to finish the race ahead of Bill?

A) 5
B) 10
C) 30
D) 60
E) 120
Manager
Joined: 04 Oct 2006
Posts: 188
Followers: 1

Kudos [?]: 1 [0], given: 0

### Show Tags

18 Oct 2006, 14:51
I am pretty sure it is C but I cannot really give a good explanation.
Senior Manager
Joined: 30 Aug 2006
Posts: 374
Followers: 3

Kudos [?]: 68 [0], given: 0

### Show Tags

18 Oct 2006, 15:49
10, not particularly elegant but...

1st - Jxxxx (4 spaces for Bill)
2nd - Jxxx (3)
3rd - Jxx (2)
4th - Jx (1)

4+3+2+1 = 10
Intern
Joined: 23 Aug 2006
Posts: 26
Followers: 0

Kudos [?]: 1 [0], given: 0

### Show Tags

18 Oct 2006, 16:00
londonluddite wrote:
10, not particularly elegant but...

1st - Jxxxx (4 spaces for Bill)
2nd - Jxxx (3)
3rd - Jxx (2)
4th - Jx (1)

4+3+2+1 = 10

VP
Joined: 25 Jun 2006
Posts: 1167
Followers: 3

Kudos [?]: 157 [0], given: 0

### Show Tags

18 Oct 2006, 19:31

Categorize the race to 4 cases:
J is 1st, 2nd, 3rd, 4th. then sum up.
Manager
Joined: 25 Sep 2006
Posts: 151
Followers: 1

Kudos [?]: 6 [0], given: 0

### Show Tags

18 Oct 2006, 20:30
I thought 10 at first.. but wait........

u guys have been ignoring the other 3 participants. By taking account for them, u should get 60
Director
Joined: 06 Feb 2006
Posts: 898
Followers: 3

Kudos [?]: 112 [0], given: 0

### Show Tags

19 Oct 2006, 03:17
Yes should be D...

10 ways when John is ahead of Bill
3! ways for the other guys to mix up....

10*3!=60
19 Oct 2006, 03:17
Display posts from previous: Sort by