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.
20 people attended a meeting in Washington. In how many ways can a t
[#permalink]
29 Oct 2024, 01:12
29 Oct 2024, 01:12
Expert Reply
1
Bookmarks
00:00
Question Stats:
83% (02:04) correct
16% (02:10) wrong based on 6 sessions
Hide Show timer Statistics
20 people attended a meeting in Washington. In how many ways can a team of 10 people be made if 4 people refuse to be in the team and 6 particular people should be selected in the team?
A. 105
B. 210
C. 420
D. 840
E. 960
A. 105
B. 210
C. 420
D. 840
E. 960
- Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
Re: 20 people attended a meeting in Washington. In how many ways can a t
[#permalink]
29 Oct 2024, 08:52
29 Oct 2024, 08:52
1
To form a team of 10 people from 20 attendees, where 4 people refuse to join and 6 specific people must be included, we start by selecting the required members.
Since 6 particular people must be on the team, that leaves us needing 4 more members.
With the 4 people refusing to join, we only have 16 potential candidates left (20 total minus the 4 refusals).
From these 16 people, we need to choose 4 to complete the team.
Using combinations,
The number of ways to choose 4 people from 16 is calculated as 210. Thus, the answer is 210.
Since 6 particular people must be on the team, that leaves us needing 4 more members.
With the 4 people refusing to join, we only have 16 potential candidates left (20 total minus the 4 refusals).
From these 16 people, we need to choose 4 to complete the team.
Using combinations,
The number of ways to choose 4 people from 16 is calculated as 210. Thus, the answer is 210.
Re: 20 people attended a meeting in Washington. In how many ways can a t
[#permalink]
30 Oct 2024, 04:54
30 Oct 2024, 04:54
Carcass, can you please advise whether we should use the following formula?
nCr = n! / r! * (n - r)!
According to this formula, I will not be able to get 210.
nCr = n! / r! * (n - r)!
According to this formula, I will not be able to get 210.
