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
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GRE score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Your score will improve and your results will be more realistic
Is there something wrong with our timer?Let us know!
If there are 4 pairs of twins, and a committee will be formed with 3 m
[#permalink]
05 Jan 2022, 06:05
1
Expert Reply
00:00
Question Stats:
66% (01:10) correct
33% (04:14) wrong based on 3 sessions
HideShow
timer Statistics
If there are 4 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
Re: If there are 4 pairs of twins, and a committee will be formed with 3 m
[#permalink]
05 Jan 2022, 06:13
1
Carcass wrote:
If there are 4 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
A. 32 B. 24 C. 56 D. 44 E. 40
Take the task of selecting the 3 committee members and break it into stages.
Stage 1: Select the 3 twin pairs from which we will select 1 sibling each. There are 4 pairs of twins, and we must select 3 pairs. Since the order in which we select the 3 pairs does not matter, we can use COMBINATIONS We can select 3 pairs from 4 pairs in 4C3 ways (4 ways)
Stage 2: Take one of the 3 selected pairs and choose 1 person to be on the committee. There are 2 people in the twin pair, so this stage can be accomplished in 2 ways.
Stage 3: Take another of the 3 selected pairs and choose 1 person to be on the committee. There are 2 people in the twin pair, so this stage can be accomplished in 2 ways.
Stage 4: Take the last of the 3 selected pairs and choose 1 person to be on the committee. There are 2 people in the twin pair, so this stage can be accomplished in 2 ways.
By the Fundamental Counting Principle (FCP) we can complete all 4 stages (and thus create a 3-person committee) in (4)(2)(2)(2) ways (= 32 ways)
Answer = A
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE. So, be sure to learn it.
RELATED VIDEO
gmatclubot
Re: If there are 4 pairs of twins, and a committee will be formed with 3 m [#permalink]