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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
Followers: 1

Kudos [?]: 4 [0], given: 0

If the Board of Selectmen contains 4 positions, and if in [#permalink]  26 Aug 2003, 11:21
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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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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Too much is not enough...

Manager
Joined: 10 Jun 2003
Posts: 210
Location: Maryland
Followers: 2

Kudos [?]: 4 [0], given: 0

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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Sept 3rd

Manager
Joined: 28 Feb 2003
Posts: 147
Location: Kiev
Followers: 1

Kudos [?]: 4 [0], given: 0

mciatto

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

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CEO
Joined: 15 Aug 2003
Posts: 3469
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Kudos [?]: 701 [0], given: 781

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
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