GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A small company employs 3 men and 5 women. If a team of 4 employees is
[#permalink]
08 Jul 2022, 06:25
08 Jul 2022, 06:25
Expert Reply
1
Bookmarks
00:00
Question Stats:
75% (02:07) correct
25% (01:30) wrong based on 12 sessions
Hide Show timer Statistics
A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
A. 1/14
B. 1/7
C. 2/7
D. 3/7
E. 1/2
A. 1/14
B. 1/7
C. 2/7
D. 3/7
E. 1/2
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
Re: A small company employs 3 men and 5 women. If a team of 4 employees is
[#permalink]
09 Jul 2022, 01:19
09 Jul 2022, 01:19
Expert Reply
1
Bookmarks
Total amount of possible choices is
8! / 4! 4! = 8 x 6 x 7 x 5 / 4 x 3 x 2 = 70
the only way to have exactly 2 women is to have 2 men so the number of ways we can select 2men from 4 is
3!/ 2! = 3
the number of ways we can select 2 women from 5 is
5! /2! 3! = 5 x 4 / 2 = 10
the total different ways you can have 2 women and 2 men
3 x 10 = 30
desired outcome / total outcomes = probability -> 30 / 70 = 3/7
8! / 4! 4! = 8 x 6 x 7 x 5 / 4 x 3 x 2 = 70
the only way to have exactly 2 women is to have 2 men so the number of ways we can select 2men from 4 is
3!/ 2! = 3
the number of ways we can select 2 women from 5 is
5! /2! 3! = 5 x 4 / 2 = 10
the total different ways you can have 2 women and 2 men
3 x 10 = 30
desired outcome / total outcomes = probability -> 30 / 70 = 3/7
gmatclubot
Re: A small company employs 3 men and 5 women. If a team of 4 employees is [#permalink]
09 Jul 2022, 01:19
Moderators:
