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Ben has 30 pencils in a box. Each of the pencils is one of 5
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07 Nov 2019, 10:42
07 Nov 2019, 10:42
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60% (01:02) correct
39% (01:59) wrong based on 41 sessions
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Ben has 30 pencils in a box. Each of the pencils is one of 5 different colors, and there are 6 pencils of each color. If Ben selects pencils one at a time from the box without being able to see the pencils, what is the minimum number of pencils that he must select in order to ensure that he selects at least 2 pencils of each color?
A. 24
B. 25
C. 26
D. 27
E. 28
A. 24
B. 25
C. 26
D. 27
E. 28
Re: Ben has 30 pencils in a box. Each of the pencils is one of 5
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14 Nov 2019, 05:05
14 Nov 2019, 05:05
7
1
HI,
There's no formula that I used to solve this question.
To select 2 pencils of each colour and keeping max failures in mind, I counted 6+6+6+6+2= 26.
6's denote= all the 6 pencils of each color.
2= pencils of the last colour left.
Please shot a kudos if you like the solution.
Thanks in advance!
There's no formula that I used to solve this question.
To select 2 pencils of each colour and keeping max failures in mind, I counted 6+6+6+6+2= 26.
6's denote= all the 6 pencils of each color.
2= pencils of the last colour left.
Please shot a kudos if you like the solution.
Thanks in advance!
General Discussion
Re: Ben has 30 pencils in a box. Each of the pencils is one of 5
[#permalink]
18 Nov 2019, 21:44
18 Nov 2019, 21:44
5
Carcass wrote:
Ben has 30 pencils in a box. Each of the pencils is one of 5 different colors, and there are 6 pencils of each color. If Ben selects pencils one at a time from the box without being able to see the pencils, what is the minimum number of pencils that he must select in order to ensure that he selects at least 2 pencils of each color?
A. 24
B. 25
C. 26
D. 27
E. 28
A. 24
B. 25
C. 26
D. 27
E. 28
In such type of questions, we take the worst case possible.
Now there are 5 colors and 6 pencils of each color.
The worst case would be that we pick 24 pencils and still we have only 4 colors.
So, to get another 2 pencils such that we have atleast 2 pencils of each color.
the total number of pencils become = 24 + 2 = 26.
OA - C
