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# In how many ways can a coach select a 4-person

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In how many ways can a coach select a 4-person [#permalink]

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24 Aug 2015, 16:49
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25% (00:39) correct 75% (00:45) wrong based on 399 sessions

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In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.
2) 60% of the 20 athletes are eligible to play on the four-person university team.
[Reveal] Spoiler: OA

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Re: In how many ways can a coach select a 4-person [#permalink]

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24 Aug 2015, 18:08
pate13 wrote:
In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.
2) 60% of the 20 athletes are eligible to play on the four-person university team.

Even 1st statement can tell the total eligible candidates, then why answer is not D?
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Re: In how many ways can a coach select a 4-person [#permalink]

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24 Aug 2015, 18:23
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dav90 wrote:
pate13 wrote:
In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.
2) 60% of the 20 athletes are eligible to play on the four-person university team.

Even 1st statement can tell the total eligible candidates, then why answer is not D?

The 1st statement basically only states, eligible candidates > 3*(4). so the value could be greater than 12, so there is no way one can find the # of possibilities if the total eligible candidates list is unknown.

hope this answers. Kudos if this helped.
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Re: In how many ways can a coach select a 4-person [#permalink]

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24 Aug 2015, 18:27
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kingjamesrules wrote:
dav90 wrote:
pate13 wrote:
In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.
2) 60% of the 20 athletes are eligible to play on the four-person university team.

Even 1st statement can tell the total eligible candidates, then why answer is not D?

The 1st statement basically only states, eligible candidates > 3*(4). so the value could be greater than 12, so there is no way one can find the # of possibilities if the total eligible candidates list is unknown.

hope this answers. Kudos if this helped.

I missed '' Greater than"...
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Re: In how many ways can a coach select a 4-person [#permalink]

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28 Aug 2015, 06:39
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kingjamesrules wrote:
dav90 wrote:
pate13 wrote:
In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.
2) 60% of the 20 athletes are eligible to play on the four-person university team.

Even 1st statement can tell the total eligible candidates, then why answer is not D?

The 1st statement basically only states, eligible candidates > 3*(4). so the value could be greater than 12, so there is no way one can find the # of possibilities if the total eligible candidates list is unknown.

hope this answers. Kudos if this helped.

I can understand your argument if the 1st statement said: "The number of eligible candidates is greater than 3 times the number of slots on the team". But it actually says:"The number of eligible candidates IS three times greater than the number of slots on the team. I still think the answer is D. Both these statements give the same information. And that information is enough. Number of ways to choose a 4 person team from 12 candidates = 12Choose4.

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Re: In how many ways can a coach select a 4-person [#permalink]

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28 Aug 2015, 06:54
I can understand your argument if the 1st statement said: "The number of eligible candidates is greater than 3 times the number of slots on the team". But it actually says:"The number of eligible candidates IS three times greater than the number of slots on the team. I still think the answer is D. Both these statements give the same information. And that information is enough. Number of ways to choose a 4 person team from 12 candidates = 12Choose4.[/quote]

I completely agree. That's why I posted this question: to see other people's interpretation.

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Re: In how many ways can a coach select a 4-person [#permalink]

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28 Aug 2015, 07:01
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hb4100 wrote:

I can understand your argument if the 1st statement said: "The number of eligible candidates is greater than 3 times the number of slots on the team". But it actually says:"The number of eligible candidates IS three times greater than the number of slots on the team. I still think the answer is D. Both these statements give the same information. And that information is enough. Number of ways to choose a 4 person team from 12 candidates = 12Choose4.

A better way to rephrase statement 1 should be " The number of eligible candidates is greater than three times the number of slots on the team." The only way this statement can be interpreted is Eligible candidates > 3*4

But even without this rephrase, Eligible candidates = 3*4 ONLY if the statement mentioned it this way. But the additional "greater than" will make me suspicious of this equality.

Hope this helps.

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Re: In how many ways can a coach select a 4-person [#permalink]

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28 Aug 2015, 07:59
pate13 wrote:
I can understand your argument if the 1st statement said: "The number of eligible candidates is greater than 3 times the number of slots on the team". But it actually says:"The number of eligible candidates IS three times greater than the number of slots on the team. I still think the answer is D. Both these statements give the same information. And that information is enough. Number of ways to choose a 4 person team from 12 candidates = 12Choose4.

I completely agree. That's why I posted this question: to see other people's interpretation.[/quote]

I also think it's D if the actual question is written like this. I agree with both of you, it clearly says that it is 3 times greater and therefore the answer is D (both statements provide the same information).

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Re: In how many ways can a coach select a 4-person [#permalink]

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08 Sep 2015, 13:00
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The answer is clearly D. This is a sub-600 level question that has been categorized as 700+ due to incorrect wording by the source and the confusion it has caused.

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Re: In how many ways can a coach select a 4-person [#permalink]

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08 Sep 2015, 16:56
I also want to point out a flaw in the second statement, which states that 60 % of 20 athletes are eligible.

We should not assume that there are not categories as well, there can be 40 other candidates eligible who are not athletes but fall under any other abc category

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Re: In how many ways can a coach select a 4-person [#permalink]

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12 Jan 2017, 15:38
"x is three times greater than y" -> Doesn't this mean x = 3y?

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Re: In how many ways can a coach select a 4-person [#permalink]

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19 Jul 2017, 22:26
kingjamesrules wrote:
dav90 wrote:
pate13 wrote:
In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.
2) 60% of the 20 athletes are eligible to play on the four-person university team.

Even 1st statement can tell the total eligible candidates, then why answer is not D?

The 1st statement basically only states, eligible candidates > 3*(4). so the value could be greater than 12, so there is no way one can find the # of possibilities if the total eligible candidates list is unknown.

hope this answers. Kudos if this helped.

That's not correct. "3 times greater than 4" means 4+3*4 =16

What you are saying should have been written as "more than 3 times greater than 4"
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Re: In how many ways can a coach select a 4-person [#permalink]

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25 Oct 2017, 20:05
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I agree with Rekha

3 times as many as = 3x4 = 12
3 times greater than = 3 + 3 *4 = 16
greater than 3 times >3x =. >12

Statement 1 is definitely not 3 times as many as. but says 3 times greater than = 16, then statement 1 must be sufficient.
However then , statement 1 and statement 2 are contradicting to each other, statement1 says 16 and statement2 will say 12.

OR on the whole, i am not understanding meaning of statements properly.

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Re: In how many ways can a coach select a 4-person [#permalink]

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25 Oct 2017, 21:45
I think we need someone from VeritasPrep to comment on this question, because its causing a lot of confusion.
A lot of people will benefit if the meaning of '3 times greater than' is made clear.

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Re: In how many ways can a coach select a 4-person   [#permalink] 25 Oct 2017, 21:45
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