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The probability that a word selected from the set of all rearrangement
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25 Mar 2021, 01:39
25 Mar 2021, 01:39
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Question Stats:
84% (00:57) correct
15% (00:46) wrong based on 78 sessions
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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
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The probability that a word selected from the set of all rearrangement
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25 Mar 2021, 02:48
25 Mar 2021, 02:48
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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
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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 
