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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
(A) 6
(B) 8
(C) 12
(D) 16
(E) 24
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26 Aug 2003, 13:55
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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.
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.
