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08 May 2021, 21:56
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In a hospital, blood donors are classified by their genders and blood types. There are two genders, i.e., male and female, and four blood types, i.e.: A, B, AB, and O. Each blood type has two possible rhesuses, i.e. + (positive) and - (negative). Every blood donor is labeled (g,t,r), where g is the gender, t is the blood type, and r is the rhesus. As an example, the label (F,O,−) means that the donor is female and her blood type is O-.
Suppose the hospital needs 5 (five) donors whose gender, blood type, and rhesus are all identical. However, the hospital plans to choose a number of donors at random (without any prior test). Determine this minimum number of donors to ensure such things.
please help
Suppose the hospital needs 5 (five) donors whose gender, blood type, and rhesus are all identical. However, the hospital plans to choose a number of donors at random (without any prior test). Determine this minimum number of donors to ensure such things.
please help
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09 May 2021, 00:57
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Hello agmy302,
Unfortunately you need to follow a certain format for posting questions, and you haven't followed that.
Please go through the link : https://gmatclub.com/forum/rules-for-po ... 33935.html and please keep in mind going forward that posts have to be made in accordance with the rules stated in the link or else strict action will be taken against you.
Have a great day.
Unfortunately you need to follow a certain format for posting questions, and you haven't followed that.
Please go through the link : https://gmatclub.com/forum/rules-for-po ... 33935.html and please keep in mind going forward that posts have to be made in accordance with the rules stated in the link or else strict action will be taken against you.
Have a great day.
09 May 2021, 01:24
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Hey agmy302
Since each blood donor is labeled g, t, r, where g is the gender, t is the blood type, and r is the rhesus
there will be 2 * 4 * 2 = 16 unique label combinations.
What's required in the question: 5 (five) donors whose gender, blood type, and rhesus are all identical.
However, since donors selected at random, minimum number of donors to ensure will be:
16 * 4 +1 = 65
This means, 4 people of each combination are selected randomly to make the initial 64 selections.
The 65th selected label should be 1 of the 16 possible label combinations.
This label of the 65th selected donor will have 4 identical labels from the previously selected 64 donors. Hence, there will now be 5 identical donors.
Answer to the question should be: 65 minimum donors
Hope this helps!
Since each blood donor is labeled g, t, r, where g is the gender, t is the blood type, and r is the rhesus
there will be 2 * 4 * 2 = 16 unique label combinations.
What's required in the question: 5 (five) donors whose gender, blood type, and rhesus are all identical.
However, since donors selected at random, minimum number of donors to ensure will be:
16 * 4 +1 = 65
This means, 4 people of each combination are selected randomly to make the initial 64 selections.
The 65th selected label should be 1 of the 16 possible label combinations.
This label of the 65th selected donor will have 4 identical labels from the previously selected 64 donors. Hence, there will now be 5 identical donors.
Answer to the question should be: 65 minimum donors
Hope this helps!
