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26 Jan 2020, 07:30
Kudos
Bookmarks
Sorry for jumping in between.
Pritishd
Since we have to keep vowel separated the requirement of 6 spaces arrive. Here's as i understand
A. When Vowels start the word (Positions taken by the vowel)
1 3 5/6/7/8 (4 ways)
1 4 6/7/8 (3 ways)
1 5 7/8 (2 ways)
1 6 8 (1 way)
Total = 10 ways
B. When Consonants start the word (Positions taken by the vowel)
2 4 6/7/8 (3 ways)
2 5 7/8 (2 ways)
2 6 8 (1 way)
3 5 7/8 (2 ways)
3 6 8 (1 way)
4 6 8 (1 way)
Total = 10 ways
G. Total 10 + 10 = 20
Now, since Consonants are always separated number of ways to arrange them = 5!
Number of ways to arrange Vowels = 3!
Required ways of arrangements = 5! * 3! * 20 = 14400
Hope this helpful ..
Pritishd
Since we have to keep vowel separated the requirement of 6 spaces arrive. Here's as i understand
A. When Vowels start the word (Positions taken by the vowel)
1 3 5/6/7/8 (4 ways)
1 4 6/7/8 (3 ways)
1 5 7/8 (2 ways)
1 6 8 (1 way)
Total = 10 ways
B. When Consonants start the word (Positions taken by the vowel)
2 4 6/7/8 (3 ways)
2 5 7/8 (2 ways)
2 6 8 (1 way)
3 5 7/8 (2 ways)
3 6 8 (1 way)
4 6 8 (1 way)
Total = 10 ways
G. Total 10 + 10 = 20
Now, since Consonants are always separated number of ways to arrange them = 5!
Number of ways to arrange Vowels = 3!
Required ways of arrangements = 5! * 3! * 20 = 14400
Hope this helpful ..
Pritishd
08 Aug 2020, 06:16
Kudos
Bookmarks
Bunuel
Bunuel
Hi Bunuel,
I am not clear about the following steps in the above explanation -
The # of ways to choose an empty slot for that unit = 6;
The # of ways to choose an empty slot for the third vowel = 5.
Plz help to understand the logic of the above two steps. Thanks
21 Apr 2025, 04:13
Kudos
Bookmarks
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
