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Of the 12 temporary employees in a certain company, 4 will be hired as
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14 Jul 2022, 13:22
14 Jul 2022, 13:22
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Question Stats:
80% (02:07) correct
20% (01:55) wrong based on 10 sessions
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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
A. 22
B. 35
C. 56
D. 70
E. 105
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
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Re: Of the 12 temporary employees in a certain company, 4 will be hired as
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14 Jul 2022, 15:28
14 Jul 2022, 15:28
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Carcass wrote:
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
A. 22
B. 35
C. 56
D. 70
E. 105
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Take the task of selecting the employees and break it into stages.
Stage 1: Select the 3 women
The order in which we select the women does not matter, so we can use combinations.
We can select 3 women from 5 women in 5C3 ways (= 10 ways)
Stage 2: Select the 1 man
There are 7 men, so we can complete this stage in 7 ways.
By the Fundamental Counting Principle (FCP), we can complete the two stages (and thus select the permanent employees) in (10)(7) ways (= 70 ways)
Answer: D
gmatclubot
Re: Of the 12 temporary employees in a certain company, 4 will be hired as [#permalink]
14 Jul 2022, 15:28
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