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# If the Board of Selectmen contains 4 positions, and if in

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Manager
Joined: 28 Feb 2003
Posts: 147
Location: Kiev
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If the Board of Selectmen contains 4 positions, and if in [#permalink]

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26 Aug 2003, 12:21
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If the Board of Selectmen contains 4 positions, and if in the current elections two candidates are running for each position, then in how many different ways can these candidates be elected to the Board?

(A) 6
(B) 8
(C) 12
(D) 16
(E) 24
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Manager
Joined: 10 Jun 2003
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Location: Maryland
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26 Aug 2003, 13:55
Let's say there was one position and two candidates A and B.
Then there would be 2 ways to fill this - A or B

Let's say there are two positions and two candidates each A and B are running for position 1 and C and D are running for position 2.
Now we have 2*2 ways (AC, AD, BC, BD)

Keep going for 3 and then 4 positions.
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Manager
Joined: 28 Feb 2003
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Location: Kiev
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Kudos [?]: 9 [0], given: 0

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26 Aug 2003, 23:40
mciatto

Correct! The official answer is (D)
But why 4C8 logic is wrong?

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CEO
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27 Aug 2003, 01:27
bono wrote:
mciatto

Correct! The official answer is (D)
But why 4C8 logic is wrong?

restrictions! thats why...

Two specific ppl are running for each position..obviously they cant take other positions.

thanks
praetorian
27 Aug 2003, 01:27
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