How many ways are there to order the alphabet?
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how many ways can the 26 letters of the English alphabet be arrange [#permalink]
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Hide Show timer StatisticsCompetition Mode Question In how many ways can the 26 letters of the English alphabet be arranged so that there are seven letters between the letters A and B? A. \(12\) B. \(36 * 24!\) C. \(24C7 * 18! * 2\) D. \(26C7 × 20! × 2\) E. \(26P7 × 20! × 2\) Are You Up For the Challenge: 700 Level Questions _________________ GMAT Club Legend Joined: 03 Jun 2019 Posts: 4773 Location: India GMAT 1: 690 Q50 V34 WE:Engineering (Transportation)
Re: In how many ways can the 26 letters of the English
alphabet be arrange [#permalink]
In how many ways can the 26 letters of the English alphabet be arranged so that there are seven letters between the letters A and B? A. 12 B. 36∗24! C. 24C7∗18!∗2 D. 26C7×20!×2 E. 26P7×20!×2 Between A & B, there are 7 letters out of 24. Number of ways 9 letter word with A & B at both ends = 24C7*7!*2 Consider this 9 letter word as a single letter Total number of ways the 26 letters of the English alphabet be arranged so that there are seven letters between the letters A and B = 24C7*7!*2*18! = (24!/7!17!)*7!*2*18! = 24! *2*18 = 36*24! IMO B Kinshook Chaturvedi Director Joined: 30 Sep 2017 Posts: 968 GMAT 1: 720 Q49 V40 GPA: 3.8
Re: In how many ways
can the 26 letters of the English alphabet be arrange [#permalink]
(1) Scheme A,_,_,_,_,_,_,_,B,(remaining) (2) Similarly, the reverse scheme B,_,_,_,_,_,_,_,A,(remaining) is also applicable Total no of ways = 18*24! + 18*24! = 36*24! Posted from my mobile device VP Joined: 20 Jul 2017 Posts: 1343 Location: India Concentration: Entrepreneurship, Marketing WE:Education (Education) Re: In how many ways can the 26 letters of the English alphabet be arrange
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A & B have to be separated by 7 letters Make a block of 9 letters with {A/B, _, _, _, _, _, _, _, B/A} and remaining 17 letters We can arrange 7 letters from 24 available in \(24p_7\) ways A & B can be interchanged in 2 ways 18 units (1 block + remaining 17 letters) can be arranged in 18! ways --> Total number of ways = 2*24p7*18! = 2*{24*23*22*21*20*19*18}*18! = 2*24!*18 = 36*24! Option B Originally posted by Dillesh4096 on 20 Mar
2020, 01:07. SVP Joined: 24 Nov 2016 Posts: 1809 Location: United States In how many ways
can the 26 letters of the English alphabet be arrange [#permalink]
Quote: In how many ways can the 26 letters of the English alphabet be arranged so that there are seven letters between the letters A and B? A. 12 TOTAL 26 LETTERS A__[7]__B___[17]___ Ans (B)
Originally posted by exc4libur on 20 Mar 2020, 03:29. Retired Moderator Joined: 18 May 2019 Posts: 797
Re: In how many ways can the 26 letters of the English alphabet be arrange
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If we take out A and B from the 26 letters, we are left with 24 letters. Total No. of ways = \(24C7*7!*17!*18*2\) = \((24!/(7!*17!))\)\(*7!*17!*18*2\) = \(36*24!\) The answer is B. VP Joined: 04 Aug 2010 Posts: 1232 Schools:Dartmouth College Re: In how many ways can the 26 letters of the English alphabet be arrange
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7 letters must separate A and B. Implication: The value in red indicates that the number of ways to position this 9-letter block = 18 _________________ Private tutor exclusively for the GMAT and GRE, with over 20 years of experience. As your tutor, I won't simply teach you how I would approach problems. Sloan MIT School Moderator Joined: 07 Mar 2019 Posts: 2045 Location: India WE:Sales (Energy and Utilities) Re: In how many ways can the 26 letters of the English alphabet be arrange
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In how many ways can the 26 letters of the English alphabet be arranged so that there are seven letters between the letters A and B? A. 12 B. 36∗24! C. 24C7∗18!∗2 D. 26C7×20!×2 E. 26P7×20!×2 Assumption: Arrangements is linear not circular. A + seven alphabets + B = 9 alphabets. Rest of the places can be filled with any random alphabets that are left i.e. 24 alphabets. Since either of A or B can take place till 9th last alphabet i.e. 18th position, So, Total ways of arrangements = Answer B. Manager Joined: 14 Jul 2017 Posts: 75 Location: India Schools: Booth '24, Darden '24, Fuqua '24, ISB '23, Kellogg '24, LBS '24, NTU, NUS, Ross '24, Rotman '24, Tuck '24, Columbia CBS '24, Johnson '24, Wharton '24 GPA: 3.76 WE:Management Consulting (Consulting) Re: In how many ways can the 26 letters of the English alphabet be arrange [#permalink]
26 - 9 = 17 ... If we consider the 9 letters as 1 objects we have to permute 18 different objects .. b and A can interchange ... I think the answer is C Intern Joined: 14 Jan 2018 Posts: 1 Re: In how many ways can the 26 letters of the English alphabet be arrange
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A _ _ _ _ _ _ _ B(24C7, as A and B are fixed) + remaining letters(18!) Senior Manager Joined: 14 Jul 2019 Status:Student Posts: 492 Location: United States Concentration: Accounting, Finance GPA: 3.9 WE:Education (Accounting)
Re: In how many ways can the 26 letters of the English alphabet be arrange
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In how many ways can the 26 letters of the English alphabet be arranged so that there are seven letters between the letters A and B? The position of A, B and the other 7 letters can be fixed in the following ways : VP Joined: 16 Jun 2021 Posts: 1080 Re: In how many ways can the 26 letters of the English alphabet be arrange [#permalink]
Arranging these 7 numbers between A & B = 24*23*.....18 Considering
all the 9 leeters as one arrangement Therefore the tolal way of arranging the letters equal= 24*23....18*18!*2 Re: In how many ways can the 26 letters of the English alphabet be arrange [#permalink] 26 Jul 2021, 22:35 Moderators: Senior Moderator - Masters Forum 3086 posts How many alphabet orders are there?The English Alphabet consists of 26 letters: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z.
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Letters in the alphabet:. How many ways are there to arrange the 26 letters of the alphabet?26 letters can be arranged in 67,108,863 ways without any repetition of letters.
Is there an order to the alphabet?The standard order of the modern ISO basic Latin alphabet is: A-B-C-D-E-F-G-H-I-J-K-L-M-N-O-P-Q-R-S-T-U-V-W-X-Y-Z.
How many ways are there to order the letters math?There are 24 different ways to arrage the letters in the word math .
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