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12 May 2020, 07:11
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
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Question Stats:
63% (01:11) correct
37%
(01:40)
wrong
based on 202
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How many ways are there for arranging letters of the word AMAZING such that the ‘I’ appears between the two ‘A’s?
A. 24
B. 60
C. 120
D. 240
E. 720
Are You Up For the Challenge: 700 Level Questions
A. 24
B. 60
C. 120
D. 240
E. 720
Are You Up For the Challenge: 700 Level Questions
12 May 2020, 07:29
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How many ways are there for arranging letters of the word AMAZING such that the ‘I’ appears between the two ‘A’s?
let, "(AIA)" as one component.
so, total number of words [(7-3)+1]=5
This can be arranged in 5! ways =120 ways.
correct answer C
let, "(AIA)" as one component.
so, total number of words [(7-3)+1]=5
This can be arranged in 5! ways =120 ways.
correct answer C
28 Mar 2021, 14:54
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AIA + M + Z + N + G is what we need to arrange. (we are going to consider AIA as single unit for now)
Since there are 5 units, the arrangement can we be done in 5! ways. (We have not reached to a solution yet!)
The two A's can interchange position among themselves and the required condition still be met. so --> (5!*2!)
Also, since the A's appear twice we have to remove duplication. so --> (5!*2!)/2! = 5! ways = 120 ways
Hope this makes the steps clear.
Since there are 5 units, the arrangement can we be done in 5! ways. (We have not reached to a solution yet!)
The two A's can interchange position among themselves and the required condition still be met. so --> (5!*2!)
Also, since the A's appear twice we have to remove duplication. so --> (5!*2!)/2! = 5! ways = 120 ways
Hope this makes the steps clear.
