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- Stuck here, help me understand: How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?
How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?
- Option 1)
360
- Option 2)
240
- Option 3)
120
- Option 4)
480
Answers (1)
As we learnt in
The Number of ways of Arrangement of objects -
The number of ways of n different objects taken all at a time
- wherein
Where 0! = 1
Total are arrangements of the word GARDEN are 6!
Half of them have A and E in alphabetical order.
Thus ways are
Correct option is 1.
Option 1)
360
This is the correct option.
Option 2)
240
This is an incorrect option.
Option 3)
120
This is an incorrect option.
Option 4)
480
This is an incorrect option.
View full answer
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