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medium question

Expert replies
by magical cook » Wed Jan 23, 2008 1:42 pm
How many people bought TVs at the Electronics Depot?

(1) If six Electronics Depot customers are chosen at random, one of the six bought a TV.
(2) If four Electronics Depot customers are chosen at random there are 100 different groups of people that could be chosen.
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Source: — Data Sufficiency |

Re: medium question

by Stuart@KaplanGMAT » Wed Jan 23, 2008 2:36 pm
magical cook wrote:How many people bought TVs at the Electronics Depot?

(1) If six Electronics Depot customers are chosen at random, one of the six bought a TV.
(2) If four Electronics Depot customers are chosen at random there are 100 different groups of people that could be chosen.
Is this an official question? The wording of statement (1) is a bit ambiguous. I'm going to interpret it as "one in six customers bought a TV", but that's not the only way that the statement could be interpreted.

(1) 1/6th of the customers bought a TV. Sadly, we have no clue how many customers they had: insufficient.

(2) Doesn't say anything about TV purchases: insufficient.

Together:

(1) 1/6th of customers bought a TV.

(2) nC4 = 100 (i.e. there are 100 different ways to choose 4 people out of the entire customer base).

From (2) we can solve for n, the number of customers.

We can then multiply n by 1/6 to calculate how many people bought TVs.

Together the statements are sufficient: choose (C).
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by magical cook » Wed Jan 23, 2008 3:46 pm
Thanks, this is not official question, so quesion might not be so properly written. :cry:
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