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Since 5 of the 12 temporary employees are women, 7 are men.Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?
A. 22
B. 35
C. 56
D. 70
E. 105
Take the task of selecting the employees and break it into stages.Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?
A. 22
B. 35
C. 56
D. 70
E. 105
ash4gmat wrote:Dear Experts,
The question posted by me mentions of how many of the possible groups of 4 TEMPORARY employees consist of 3 women and 1 man.
We dont know what is the breakup of man & woman for temporary employees after 4 are made permanent.
The initial post was mis-worded. Look at Mitch's and Brent's cleaned up version. (There are 12 temporary employees, 4 of whom will be selected to become permanent employees.)ash4gmat wrote:Dear Experts,
The question posted by me mentions of how many of the possible groups of 4 TEMPORARY employees consist of 3 women and 1 man.
We dont know what is the breakup of man & woman for temporary employees after 4 are made permanent.
DavidG@VeritasPrep wrote:The initial post was mis-worded. Look at Mitch's and Brent's cleaned up version. (There are 12 temporary employees, 4 of whom will be selected to become permanent employees.)ash4gmat wrote:Dear Experts,
The question posted by me mentions of how many of the possible groups of 4 TEMPORARY employees consist of 3 women and 1 man.
We dont know what is the breakup of man & woman for temporary employees after 4 are made permanent.
It's just mentioned to give the 4-person group a label, but the label is incidental to the calculation. In essence, we have a pool of 5 women and 7 men. From this pool we want to know how many ways we can form a 4-person group of 3 women and 1 man. It just happens to be the case that those 4 people are being selected to become permanent employees. If those 4 people were being selected to form a dodgeball team or to go to the moon, etc., the math would be the same.David if 4 permanent employees have no significance then why it is mentioned in the question?
Since 5 of the 12 temp employees are women, there are 7 male temp employees. We need to determine the number of possible groups of 4 temp employees that will consist of 3 women and 1 man. Since we have 5 female temp employees and we need to pick 3 of them, the number of ways we can do this is 5C3 since the order of their selection doesn't matter. Similarly, since we have 7 male temp employees and we need to pick only 1 of them, the number of ways we can do this is 7C1. Finally, to find number of possible groups of 4 temp employees that will consist of 3 women and 1 man, we multiply 5C3 and 7C1:ash4gmat wrote:Q.Of the 12 temp employees in a certain company,4 will be hired as perm employees.If 5 of the 12 temp employees are women,how many of the possible groups of 4 temp employees consist of 3 women and 1 man.
1.22
2.35
3.56
4.70
5.105
OA is D
It wouldn't matter, since they're all equally likely.ash4gmat wrote:Dear Experts,
The question posted by me mentions of how many of the possible groups of 4 TEMPORARY employees consist of 3 women and 1 man.
We dont know what is the breakup of man & woman for temporary employees after 4 are made permanent.
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