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probability ques

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by runzun » Thu Aug 04, 2011 10:04 am
If the board of selectman contains 4 position and if in the current election two candidate running for each position, how many different combinations of candidates could be elected at the board?
a)6
b)8
c)12
d)16
e)24
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Source: — Problem Solving |

by gmatboost » Thu Aug 04, 2011 11:49 am
This is a Multiplication Principle of Counting question rather than a Probability questions.

The MPC says that to get the number of possible combinations, multiply the number of options for each spot.

For each spot, we have 2 choices, so the total number of combinations is
[spoiler]2 * 2 * 2 * 2 = 16.[/spoiler]
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