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How many ways can one arrange letters of the word MATHEMATICS such tha
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10 Aug 2023, 08:19
10 Aug 2023, 08:19
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66% (01:47) correct
33% (03:15) wrong based on 6 sessions
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How many ways can one arrange letters of the word MATHEMATICS such that M, A and T occupy only odd places? (That is 1st, 3rd, 5th, 7th, 9th and 11th positions are occupied by M, A and T)
A. \(5!\)
B. \(\frac{(5!)^2}{4}\)
C. \(\frac{(5!)^2}{2}
\)
D. \(\frac{(5!)^2*3}{4}\)
E. \((5!)^2\)
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A. \(5!\)
B. \(\frac{(5!)^2}{4}\)
C. \(\frac{(5!)^2}{2}
\)
D. \(\frac{(5!)^2*3}{4}\)
E. \((5!)^2\)
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) ALL the GRE Quant and Verbal Practice Directories in ONE place (2023)
\(\Longrightarrow\) Best GRE Test Books of 2023
Re: How many ways can one arrange letters of the word MATHEMATICS such tha
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02 Oct 2023, 03:04
02 Oct 2023, 03:04
1
Carcass wrote:
How many ways can one arrange letters of the word MATHEMATICS such that M, A and T occupy only odd places? (That is 1st, 3rd, 5th, 7th, 9th and 11th positions are occupied by M, A and T)
A. \(5!\)
B. \(\frac{(5!)^2}{4}\)
C. \(\frac{(5!)^2}{2}
\)
D. \(\frac{(5!)^2*3}{4}\)
E. \((5!)^2\)
[/size]
A. \(5!\)
B. \(\frac{(5!)^2}{4}\)
C. \(\frac{(5!)^2}{2}
\)
D. \(\frac{(5!)^2*3}{4}\)
E. \((5!)^2\)
[/size]
How is the answer D? It should be 5! * 8. 5! because there are 5 remaining letters which can be placed in 5! ways. 8 because there are 3 pairs of letters that repeat twice, 2!*2!*2! . And we multiply because "and". Although my answer is not available in the options.
Re: How many ways can one arrange letters of the word MATHEMATICS such tha
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04 Oct 2023, 02:26
04 Oct 2023, 02:26
1
M A T H E M A T I C S
Odd places must have M A T
1_3_5_7_9_11
6!/2!*2!*2!
Rest 5 places can have H E I C S
5!
(6!/2!*2!*2!)*(5!)
Ans D
Odd places must have M A T
1_3_5_7_9_11
6!/2!*2!*2!
Rest 5 places can have H E I C S
5!
(6!/2!*2!*2!)*(5!)
Ans D
