|
|
GMAT 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.
27 Apr 2017, 02:19
Kudos
Bookmarks
D
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:
71% (02:20) correct
29%
(02:28)
wrong
based on 110
sessions
History
Date
Time
Result
Not Attempted Yet
A team of construction workers must include two masons, three carpenters, four electricians, and two plumbers. If the job foreman has six possible choices from each profession to choose from, how many different teams could the foreman create?
A. 2,496,144
B. 135,000
C. 629,856
D. 67,500
E. 6,750
A. 2,496,144
B. 135,000
C. 629,856
D. 67,500
E. 6,750
27 Apr 2017, 04:07
Kudos
Bookmarks
The way to choose 2 masons from 6 is 6c2
The way to choose 3 masons from 6 is 6c3
The way to choose 4 electricians from 6 is 6c4
The way to choose 2 plumbers from 6 is 6c2
Total possibilities are 6c2 * 6c3 * 6c4 * 6c2 = 67500(Option D)
The way to choose 3 masons from 6 is 6c3
The way to choose 4 electricians from 6 is 6c4
The way to choose 2 plumbers from 6 is 6c2
Total possibilities are 6c2 * 6c3 * 6c4 * 6c2 = 67500(Option D)
02 May 2017, 16:45
Kudos
Bookmarks
Bunuel
We are given that a team of construction workers must include two masons, three carpenters, four electricians, and two plumbers. If the job foreman has six possible choices, then:
The number of ways to choose 2 masons = 6C2 = (6 x 5)/2! = 15
The number of ways to choose 3 carpenters = 6C3 = (6 x 5 x 4)/3! = (6 x 5 x 4)(3 x 2) = 20
The number of ways to choose 4 electricians = 6C4 = (6 x 5 x 4 x 3)/4! = (6 x 5 x 4 x 3)(4 x 3 x 2) = 15
The number of ways to choose 2 plumbers = 6C2 = (6 x 5)/2! = 15
Thus, the total number of teams that can be formed is 15 x 20 x 15 x 15 = 67,500.
Answer: D
