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A company plans to award prizes to its top 3 salespeople, with the

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Joined: 02 Sep 2009
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A company plans to award prizes to its top 3 salespeople, with the  [#permalink]

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New post 27 Dec 2015, 09:03
1
6
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A
B
C
D
E

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Question Stats:

76% (01:00) correct 24% (01:02) wrong based on 133 sessions

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A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 12 salespeople on staff, how many different arrangements of winners are possible?

A. 1,728
B. 1,440
C. 1,320
D. 220
E. 6

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Senior Manager
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Re: A company plans to award prizes to its top 3 salespeople, with the  [#permalink]

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New post 30 Dec 2015, 18:15
[quote="Bunuel"]A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 12 salespeople on staff, how many different arrangements of winners are possible?

12*11*10
=1320

C. 1,320
Manager
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Re: A company plans to award prizes to its top 3 salespeople, with the  [#permalink]

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New post 02 Jan 2016, 08:44
Bunuel wrote:
A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 12 salespeople on staff, how many different arrangements of winners are possible?

A. 1,728
B. 1,440
C. 1,320
D. 220
E. 6



12*11*10= 1320

Ans C

I feel it is a straightforward question of selecting 3 people out of 12.
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Re: A company plans to award prizes to its top 3 salespeople, with the  [#permalink]

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New post 27 Mar 2016, 18:42
Choose 3 people out of 12 and arrange these 3 people between themselves.

12!/(3!x9!)x3!=12x11x10x9!/(3!x9!)x3!=12x11x10=1320
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Re: A company plans to award prizes to its top 3 salespeople, with the  [#permalink]

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New post 02 Apr 2016, 04:56
1
problem is a sitter
First person can be selected in 12C1 ways= 12 ways
second person can be selected in 11C1 ways = 11 ways
third person can be selected in 10C1 ways = 10 ways

total ways = 12*11*10 = 1320 ways
correct answer - C
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Re: A company plans to award prizes to its top 3 salespeople, with the  [#permalink]

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Re: A company plans to award prizes to its top 3 salespeople, with the   [#permalink] 31 Oct 2018, 10:07
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