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In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together?
- a)360
- b)480
- c)720
- d)5040
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In how many different ways can the letters of the word ‘LEADING&...
The word ‘LEADING’ has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
∴ Required number of ways = (120 x 6) = 720.
Most Upvoted Answer
In how many different ways can the letters of the word ‘LEADING&...
"WORD" be arranged?
The word "WORD" has 4 letters, so there are 4 positions to fill.
For the first position, we have 4 choices (W, O, R, or D).
For the second position, we have 3 choices (since we used one letter already).
For the third position, we have 2 choices.
For the fourth position, we have 1 choice.
Therefore, the total number of different ways to arrange the letters of the word "WORD" is 4 × 3 × 2 × 1 = 24.
The word "WORD" has 4 letters, so there are 4 positions to fill.
For the first position, we have 4 choices (W, O, R, or D).
For the second position, we have 3 choices (since we used one letter already).
For the third position, we have 2 choices.
For the fourth position, we have 1 choice.
Therefore, the total number of different ways to arrange the letters of the word "WORD" is 4 × 3 × 2 × 1 = 24.
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In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together?a)360b)480c)720d)5040e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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