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.
Nov 17Live Online Classes with Top GRE Expert Rich Zwelling
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Tues/Thur Sept 7, 2026---Feb. 2, 2027, 1:00pm-3:00pm EST
Dec 14Live Online Classes with Top GRE Expert Michael Butville
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Mon/Wed Dec. 14, 2026---Feb. 22, 2027, 8:00pm-10:00pm EST
The probability that a word selected from the set of all rearrangement
[#permalink]
25 Mar 2021, 01:39
25 Mar 2021, 01:39
Expert Reply
6
Bookmarks
00:00
Question Stats:
84% (00:57) correct
15% (00:46) wrong based on 78 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
The probability that a word selected from the set of all rearrangements of the letters of the word "Math" results in "Math" |
The probability that a word selected from the set of all rearrangements of the letters of the word "Good" results in "Good" |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
The probability that a word selected from the set of all rearrangement
[#permalink]
25 Mar 2021, 02:48
25 Mar 2021, 02:48
3
2
Bookmarks
Carcass wrote:
Quantity A |
Quantity B |
The probability that a word selected from the set of all rearrangements of the letters of the word "Math" results in "Math" |
The probability that a word selected from the set of all rearrangements of the letters of the word "Good" results in "Good" |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Tricky one! - tricked me as well
\(n\) objects can be arranged in a line or a row in \(n!\) ways
"Math" can be arranged in \(4! = 24\) ways
"Good" can be arranged in \(\frac{4!}{2!} = 12\) ways
Now,
Col. A: \(\frac{1}{24}\)
Col. B: \(\frac{1}{12}\)
Multiplying by \(24\) both sides:
Col. A: \(1\)
Col. B: \(2\)
Hence, option B
General Discussion
Re: The probability that a word selected from the set of all rearrangement
[#permalink]
25 Mar 2021, 03:14
25 Mar 2021, 03:14
Expert Reply
And for this very good reason your are the lead moderator after Brent 
