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In his pocket, a boy has 3 red marbles, 4 blue marbles, and

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In his pocket, a boy has 3 red marbles, 4 blue marbles, and [#permalink]

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12 Oct 2009, 12:40
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In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?

A. 3
B. 7
C. 8
D. 9
E. 11
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Nov 2012, 14:11, edited 1 time in total.
Renamed the topic and edited the question.
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12 Oct 2009, 13:05
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timmaxwell8 wrote:
24. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?

A. 3
B. 7
C. 8
D. 9
E. 11

The worst scenario would be that he has taken 4 blue and 4 green, total of 8 marbles, and still doesn't have 3 distinct colors. But the next draw (9th) will surely be the third color red as there is no other color marble left in pocket.

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12 Oct 2009, 21:16
I think, the only way to figure out this problem is just to use logic, just as Bunuel did.
I do not see any other solution for that.
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14 Oct 2009, 04:52
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I agree...only logic will help

take out 4G + 4B + 1R = 9 marbles
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06 Jun 2010, 18:39
What about scenario of choosing 3 red and 4 blue and still seeing distinct color.
In other words why can't we have 8 marbles drawn and still see three distinct colors? 3red+4 blue=7 marbles and on 8th draw should be green since remaining should be all green marbles?

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06 Jun 2010, 20:02
srichaks wrote:
What about scenario of choosing 3 red and 4 blue and still seeing distinct color.
In other words why can't we have 8 marbles drawn and still see three distinct colors? 3red+4 blue=7 marbles and on 8th draw should be green since remaining should be all green marbles?

The word "ensure" in the question basically is asking in the worst case scenario. So yes technically, the scenario outlined above is true as well, it is not the worst possible outcome.

In order to guarantee the outcome of one of each color, you need to take into account all of the balls in the two largest groups which equals 8.

Hope that helped.
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Re: In his pocket, a boy has 3 red marbles, 4 blue marbles, and [#permalink]

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26 Sep 2013, 05:01
What is the difference between this question and the one below.Please explain its confusing:

There are 15 black chips and 5 white chips in a jar. What is the least number of chips we should pick to guarantee that we have 2 chips of the same color?
A. 3
B. 5
C. 6
D. 16
E. 19

Worst case scenario would be if the first two chips we pick will be of the different colors. But the next chip must match with either of two, so 3 is the answer.

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Re: In his pocket, a boy has 3 red marbles, 4 blue marbles, and [#permalink]

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09 Jun 2015, 22:08
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In his pocket, a boy has 3 red marbles, 4 blue marbles, and   [#permalink] 09 Jun 2015, 22:08
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