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.
In how many ways can the letters of the word ACUMEN be rearr
[#permalink]
09 May 2019, 01:45
09 May 2019, 01:45
Expert Reply
00:00
Question Stats:
52% (00:45) correct
47% (00:57) wrong based on 19 sessions
Hide Show timer Statistics
In how many ways can the letters of the word ACUMEN be rearranged such that the vowels always appear together?
(A) \(3!*3\)!
(B) \(\frac{6!}{2!}\)
(C) \(\frac{4!*3!}{2!}\)
(D) \(4!*3!\)
(E) \(\frac{3!*3!}{2!}\)
(A) \(3!*3\)!
(B) \(\frac{6!}{2!}\)
(C) \(\frac{4!*3!}{2!}\)
(D) \(4!*3!\)
(E) \(\frac{3!*3!}{2!}\)
Re: In how many ways can the letters of the word ACUMEN be rearr
[#permalink]
10 May 2019, 00:47
10 May 2019, 00:47
1
For ACUMEN there are 6 letters. Of these A, U, E are vowels. There are 3 vowels.
There are 3 consonants and 3 vowels. Let us group the vowels together as one element.
We will arrange 4 elements 3 consonants and 1 group of vowel as another element.
Therefore these letters can be arranged as 4!* 3!. Where 3! is for interchanging places between the vowels themselves.
For eg. one arrangement could be CMNAUE and another could be CMNUEA
There are 3 consonants and 3 vowels. Let us group the vowels together as one element.
We will arrange 4 elements 3 consonants and 1 group of vowel as another element.
Therefore these letters can be arranged as 4!* 3!. Where 3! is for interchanging places between the vowels themselves.
For eg. one arrangement could be CMNAUE and another could be CMNUEA
Re: In how many ways can the letters of the word ACUMEN be rearr
[#permalink]
06 Oct 2019, 14:50
06 Oct 2019, 14:50
What if the word is "MATHEMATICS" or "PARALLEL"?
