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.
Sep 28Live Online Class with Top GRE Expert Mike Butville
08:00 PM EDT
-10:00 PM EDT
Top scores are possible when you enroll in a powerful GRE course, taught live online + 6 months access to TTP GRE OnDemand video courses included! Class starts Mon/Wed Sept. 28, 2026 - Dec. 9, 2026, 8:00pm-10:00pm EST
In how many ways can 3 red marbles, 2 blue marbles, and 5 ye
[#permalink]
09 May 2019, 01:20
09 May 2019, 01:20
Expert Reply
00:00
Question Stats:
80% (00:32) correct
20% (00:52) wrong based on 30 sessions
Hide Show timer Statistics
In how many ways can 3 red marbles, 2 blue marbles, and 5 yellow marbles be placed in a row?
(A) \(3!*2!*5!\)
(B) \(\frac{12!}{10!}\)
(C) \(\frac{10!}{3!} * \frac{10!}{2!} * \frac{10!}{5!}\)
(D) \(\frac{10!}{3!*2!*5!}\)
(E) \(\frac{10!}{(3!*2!*5!)^2}\)
(A) \(3!*2!*5!\)
(B) \(\frac{12!}{10!}\)
(C) \(\frac{10!}{3!} * \frac{10!}{2!} * \frac{10!}{5!}\)
(D) \(\frac{10!}{3!*2!*5!}\)
(E) \(\frac{10!}{(3!*2!*5!)^2}\)
Re: In how many ways can 3 red marbles, 2 blue marbles, and 5 ye
[#permalink]
10 May 2019, 02:34
10 May 2019, 02:34
2
It might seem that option A is the correct option however 3 red marbles, 2 Blue marbles and 5 yellow marbles are common interchanging 2 red marbles or 4 yellow marbles will not alter the combination. For eg. Let the two blue marbles be denoted as b1 and b2
Hence an arrangement such that RRRB1B2YYYYY and RRRB2B1YYYYY is the same.
Therefore the combination is given by \(\frac{10!}{3!*2!*5!}\)
There are 10 marbles in all and among them 3red, 2blue and 5yellow
Hence an arrangement such that RRRB1B2YYYYY and RRRB2B1YYYYY is the same.
Therefore the combination is given by \(\frac{10!}{3!*2!*5!}\)
There are 10 marbles in all and among them 3red, 2blue and 5yellow
Re: In how many ways can 3 red marbles, 2 blue marbles, and 5 ye
[#permalink]
31 Aug 2022, 06:40
31 Aug 2022, 06:40
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
