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

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Manager
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If the Board of Selectmen contains 4 positions, and if in [#permalink] New post 26 Aug 2003, 11:21
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A
B
C
D
E

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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
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 [#permalink] New post 26 Aug 2003, 12:55
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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 [#permalink] New post 26 Aug 2003, 22:40
mciatto

Correct! The official answer is (D)
But why 4C8 logic is wrong?
:roll:
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 [#permalink] New post 27 Aug 2003, 00:27
bono wrote:
mciatto

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



restrictions! thats why...

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

thanks
praetorian
  [#permalink] 27 Aug 2003, 00:27
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If the Board of Selectmen contains 4 positions, and if in

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