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A trumpet section includes five musicians. If they hold an a

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Senior Manager
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Status: 1,750 Q's attempted and counting
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A trumpet section includes five musicians. If they hold an a  [#permalink]

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New post 09 Oct 2013, 08:01
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (00:36) correct 6% (00:56) wrong based on 104 sessions

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A trumpet section includes five musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?

A. 240
B. 125
C. 120
D. 100
E. 25

OE to follow in a couple days.
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Re: A trumpet section includes five musicians. ...  [#permalink]

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New post 09 Oct 2013, 08:09
avohden wrote:
A trumpet section includes five musicians. If they hold an audition to determine
chair order within the section, and there are to be no ties, how many distinct
chair orders can result?

A. 240
B. 125
C. 120
D. 100
E. 25

OE to follow in a couple days.


Since there are to be no ties then its 5! = 120 Hence C..
Senior Manager
Senior Manager
User avatar
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 475
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Re: A trumpet section includes five musicians. ...  [#permalink]

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New post 12 Oct 2013, 15:59
Official Explanation

We have a word problem using permutations. We must identify the number of total items in the group. There are five possible musicians who could be placed in the first chair, four possible musicians for the second, three for the third, two for the fourth, and one for the fifth. To determine the number of possible orderings, we multiply these numbers, which we can express as 5!. Now 5! = (5)(4)(3)(2)(1) = 120.
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Re: A trumpet section includes five musicians. ...   [#permalink] 12 Oct 2013, 15:59
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