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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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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.
[Reveal] Spoiler: OA

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Kudos [?]: 135331 [2], given: 12687

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

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New post 22 Jul 2016, 04:21
I think the answer should be C.
First statement : Just the relation between the number of available candidates is given.
Second statement : From the statement, we can see that n = 5. Thus the number of associates = (2 less) = 3.
Both of these statements are insufficient.

Combining both statements, we can get the number of candidates for both the categories.
We don't need to solve as this is a DS question.
C seems good enough.

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

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New post 22 Jul 2016, 07:49
(1) If two fewer executives were available for selection there would be an equal number of executives and associates available for selection.
4 executives and 3 associates
can be 11c4 & 9c3 or
9c4 & 7c3
number of teams formed is diff

(2) If two more associates were available for selection exactly 10 different teams of 3 associates could be selected
team has to be of 4 executives and 3 associates
here it talks about only associates

combining both statements & keeping in mind 10 diff teams of 3 associates, we can say its suff

C

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

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New post 11 Jul 2017, 23:33
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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New post 14 Aug 2017, 10:10
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.

Kudos [?]: 10 [0], given: 149

Re: A team is composed of exactly 4 executives and 3 associates. How many   [#permalink] 14 Aug 2017, 10:10
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