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'A' comes before 'D' in the word 'AUDIT'
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Updated on: 04 Jul 2020, 11:18
Updated on: 04 Jul 2020, 11:18
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Question Stats:
67% (01:26) correct
32% (01:22) wrong based on 37 sessions
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In how many different ways can the letters of the word 'AUDIT' be arranged in such a way that 'A' comes before 'D' ?
(A) 72
(B) 60
(C) 48
(D) 44
(E) 30
(A) 72
(B) 60
(C) 48
(D) 44
(E) 30
Originally posted by kumaran14 on 04 Jul 2020, 05:25.
Last edited by GreenlightTestPrep on 04 Jul 2020, 11:18, edited 2 times in total.
Last edited by GreenlightTestPrep on 04 Jul 2020, 11:18, edited 2 times in total.
Fixed
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Re: 'A' comes before 'D' in the word 'AUDIT'
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04 Jul 2020, 11:25
04 Jul 2020, 11:25
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kumaran14 wrote:
In how many different ways can the letters of the word 'AUDIT' be arranged in such a way that 'A' comes before 'D' ?
(A) 72
(B) 60
(C) 48
(D) 44
(E) 30
(A) 72
(B) 60
(C) 48
(D) 44
(E) 30
The key concept here is that, for every arrangement in which 'A' comes before 'D', there is an arrangement in which 'D' comes before 'A'
In other words, in HALF of the arrangements, 'A' comes before 'D' and in HALF of the arrangements, 'D' comes before 'A'
To better understand what I mean, let's look at a smaller example:
Let's list all 6 arrangements of the letters in the word BAD:
ABD
ADB
BAD
BDA
DAB
DBA
In the first three arrangements, 'A' comes before 'D'
In the last three arrangements, 'D' comes before 'A'
The same applies to the five letters in the word AUDIT
We can arrange the five letters in 5! ways (= 120 ways)
In HALF of those 120 arrangements, 'A' comes before 'D'
120/2 = 60
Answer: B
Cheers,
Brent
General Discussion
Re: 'A' comes before 'D' in the word 'AUDIT'
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04 Jul 2020, 08:00
04 Jul 2020, 08:00
can you please explain further ?
