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16 Sep 2014, 00:42
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
62% (01:00) correct
38%
(01:25)
wrong
based on 326
sessions
History
Date
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Not Attempted Yet
A box contains 10 tablets of Medicine A and 15 tablets of Medicine B. What is the minimum number of tablets that need to be removed from the box to guarantee that at least two tablets of each type are among the ones extracted?
A. 12
B. 15
C. 17
D. 19
E. 21
A. 12
B. 15
C. 17
D. 19
E. 21
16 Sep 2014, 00:42
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Official Solution:
A box contains 10 tablets of Medicine A and 15 tablets of Medicine B. What is the minimum number of tablets that need to be removed from the box to guarantee that at least two tablets of each type are among the ones extracted?
A. 12
B. 15
C. 17
D. 19
E. 21
The worst-case scenario would occur if we remove all 15 tablets of medicine B first. In this scenario, we would still not have any tablets of medicine A. However, the next two tablets we remove must be of Medicine A. Therefore, to guarantee that at least two tablets of each type will be taken, we should remove a minimum of \(15+2=17\) tablets.
Answer: C
A box contains 10 tablets of Medicine A and 15 tablets of Medicine B. What is the minimum number of tablets that need to be removed from the box to guarantee that at least two tablets of each type are among the ones extracted?
A. 12
B. 15
C. 17
D. 19
E. 21
The worst-case scenario would occur if we remove all 15 tablets of medicine B first. In this scenario, we would still not have any tablets of medicine A. However, the next two tablets we remove must be of Medicine A. Therefore, to guarantee that at least two tablets of each type will be taken, we should remove a minimum of \(15+2=17\) tablets.
Answer: C
General Discussion
19 Oct 2015, 08:50
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Why isnt it 12?
