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 GMAT 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:
Quant Quizzes are back with a Bang and with lots of Prizes. The first Quiz will be on 8th Dec, 6PM PST (7:30AM IST). The Quiz will be Live for 12 hrs. Solution can be posted anytime between 6PM-6AM PST. Please click the link for all of the details.
Join IIMU Director to gain an understanding of DEM program, its curriculum & about the career prospects through a Q&A chat session. Dec 11th at 8 PM IST and 6:30 PST
Enter The Economist GMAT Tutor’s Brightest Minds competition – it’s completely free! All you have to do is take our online GMAT simulation test and put your mind to the test. Are you ready? This competition closes on December 13th.
Attend a Veritas Prep GMAT Class for Free. With free trial classes you can work with a 99th percentile expert free of charge. Learn valuable strategies and find your new favorite instructor; click for a list of upcoming dates and teachers.
From the letters in MAGOOSH, we are going to make three-letter "words.
[#permalink]
Show Tags
12 Nov 2019, 02:37
3
00:00
A
B
C
D
E
Difficulty:
55% (hard)
Question Stats:
50% (02:10) correct 50% (02:14) wrong based on 18 sessions
HideShow timer Statistics
From the letters in MAGOOSH, we are going to make three-letter "words." Any set of three letters counts as a word, and different arrangements of the same three letters (such as "MAG" and "AGM") count as different words. How many different three-letter words can be made from the seven letters in MAGOOSH?
From the letters in MAGOOSH, we are going to make three-letter "words.
[#permalink]
Show Tags
12 Nov 2019, 07:12
1
hudacse6 wrote:
From the letters in MAGOOSH, we are going to make three-letter "words." Any set of three letters counts as a word, and different arrangements of the same three letters (such as "MAG" and "AGM") count as different words. How many different three-letter words can be made from the seven letters in MAGOOSH?
A. 135 B. 170 C. 123 D. 121 E. 720
(I) Take all different letters.. M, A, G, O, S and H, so 6 letters... They can be arranged in 6*5*4=120 ways (II) two are O and third any of remaining 5.. So \(5*\frac{3!}{2!} =15\) as each combination can be arranged in \(\frac{ 3!}{2!}\) ways
From the letters in MAGOOSH, we are going to make three-letter "words.
[#permalink]
Show Tags
12 Nov 2019, 09:02
chetan2u wrote:
hudacse6 wrote:
From the letters in MAGOOSH, we are going to make three-letter "words." Any set of three letters counts as a word, and different arrangements of the same three letters (such as "MAG" and "AGM") count as different words. How many different three-letter words can be made from the seven letters in MAGOOSH?
A. 135 B. 170 C. 123 D. 121 E. 720
(I) Take all different letters.. M, A, G, O, S and H, so 6 letters... They can be arranged in 6*5*3=120 ways (II) two are O and third any of remaining 5.. So \(5*\frac{3!}{2!} =15\) as each combination can be arranged in \(\frac{ 3!}{2!}\) ways
Total 120+15=135
A
I am confused a bit. why we can't consider 7 letters from the beginning and arrange them? I mean 7*6*5 = 210?
Re: From the letters in MAGOOSH, we are going to make three-letter "words.
[#permalink]
Show Tags
12 Nov 2019, 09:18
1
merimanukyan wrote:
chetan2u wrote:
hudacse6 wrote:
From the letters in MAGOOSH, we are going to make three-letter "words." Any set of three letters counts as a word, and different arrangements of the same three letters (such as "MAG" and "AGM") count as different words. How many different three-letter words can be made from the seven letters in MAGOOSH?
A. 135 B. 170 C. 123 D. 121 E. 720
(I) Take all different letters.. M, A, G, O, S and H, so 6 letters... They can be arranged in 6*5*3=120 ways (II) two are O and third any of remaining 5.. So \(5*\frac{3!}{2!} =15\) as each combination can be arranged in \(\frac{ 3!}{2!}\) ways
Total 120+15=135
A
I am confused a bit. why we can't consider 7 letters from the beginning and arrange them? I mean 7*6*5 = 210?
If you take 7 letters it will consist of both O. Say the letters are M, A,G,O1,O2,S,H So these 7*6*5 will consist of O1MA and O2MA. But both are same, OMA, so there are repetition in 7*6*5.
_________________