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.
What is the difference between the number of three-member co
[#permalink]
Updated on: 06 Aug 2021, 04:08
Updated on: 06 Aug 2021, 04:08
1
Expert Reply
3
Bookmarks
00:00
Question Stats:
56% (01:31) correct
43% (01:44) wrong based on 44 sessions
Hide Show timer Statistics
What is the difference between the number of three-member committees that can be formed from a group of nine members and the total number of ways there are to arrange the members
of such a committee?
A. 0
B. 84
C. 252
D. 420
E. 504
of such a committee?
A. 0
B. 84
C. 252
D. 420
E. 504
Drill 1
Question: 9
Page: 560-561
Question: 9
Page: 560-561
Re: What is the difference between the number of three-member co
[#permalink]
07 Jan 2018, 18:20
07 Jan 2018, 18:20
Expert Reply
Explanation
To find the number of different committees. Make your slots and divide by the factoral \(\frac{9}{3}\frac{8}{2}\frac{7}{1}\)=84; eliminate choice (B).
To find the number of ways to arrange the committee members, just multiply 9 × 8 × 7 = 504, and eliminate partial choice (E). The difference is 504 − 84 = 420, choice D.
To find the number of different committees. Make your slots and divide by the factoral \(\frac{9}{3}\frac{8}{2}\frac{7}{1}\)=84; eliminate choice (B).
To find the number of ways to arrange the committee members, just multiply 9 × 8 × 7 = 504, and eliminate partial choice (E). The difference is 504 − 84 = 420, choice D.
Re: What is the difference between the number of three-member co
[#permalink]
08 Jan 2018, 02:42
08 Jan 2018, 02:42
understood the solution. I got 84- 3! ( wording of the question made it a bit difficult)
