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A team is composed of exactly 4 executives and 3 associates. How many

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A team is composed of exactly 4 executives and 3 associates. How many [#permalink]
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Bunuel wrote:
A team is composed of exactly 4 executives and 3 associates. How many such teams can be formed?

(1) If two fewer executives were available for selection there would be an equal number of executives and associates available for selection.
(2) If two more associates were available for selection exactly 10 different teams of 3 associates could be selected.

From statement (1),one has to identify that only one of the variables for working out the number of combinations is still known since exact n of executives and associates are not known

From statement (2) we can find the number of associates but to find the number of executives we need statement (1)

So C.
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Re: A team is composed of exactly 4 executives and 3 associates. How many [#permalink]
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Bunuel wrote:
A team is composed of exactly 4 executives and 3 associates. How many such teams can be formed?

(1) If two fewer executives were available for selection there would be an equal number of executives and associates available for selection.
(2) If two more associates were available for selection exactly 10 different teams of 3 associates could be selected.

let e and a be the original number of executives and associates available for selection.

Stmt 1- e-2 = a
We cannot infer e and a to calculate the number of teams. Insufficient.

Stmt 2- (a+2) C 3 = 10. Can find the value of a, but not e. Insufficient.

Using both Stmt 1 and 2, we can find values of e and a. So, we can calculate the number of teams formed. Sufficient.

Ans C.
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Re: A team is composed of exactly 4 executives and 3 associates. How many [#permalink]
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Re: A team is composed of exactly 4 executives and 3 associates. How many [#permalink]
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