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Question
Mathematics
How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?
Q. How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?
3338
215
AIEEE
AIEEE 2004
Permutations and Combinations
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A
120
28%
B
480
16%
C
360
40%
D
240
17%
Solution:
Since in half the arrangement A will be before E and other half E will be before A. Hence total number of ways
=
2
6
!
=
360.