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The letters of the word "VIOLENT" are arranged so that the vowels occupy even place only. The number of permutations is ______.
- a)144
- b)120
- c)24
- d)72
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The letters of the word "VIOLENT" are arranged so that the v...
"WORD" can be arranged in 24 different ways.
Explanation:
There are four letters in the word "WORD". To find the number of ways these letters can be arranged, we can use the formula for permutations of n objects taken r at a time, which is:
P(n,r) = n! / (n-r)!
In this case, n = 4 (the number of letters in the word) and r = 4 (since we are arranging all four letters). So we have:
P(4,4) = 4! / (4-4)! = 4! / 0! = 4 x 3 x 2 x 1 = 24
Therefore, there are 24 different ways to arrange the letters of the word "WORD". Some examples include:
- WORD
- WODR
- ROWD
- RODW
- DROW
- DWOR
- ORWD
- ORDW, etc.
Explanation:
There are four letters in the word "WORD". To find the number of ways these letters can be arranged, we can use the formula for permutations of n objects taken r at a time, which is:
P(n,r) = n! / (n-r)!
In this case, n = 4 (the number of letters in the word) and r = 4 (since we are arranging all four letters). So we have:
P(4,4) = 4! / (4-4)! = 4! / 0! = 4 x 3 x 2 x 1 = 24
Therefore, there are 24 different ways to arrange the letters of the word "WORD". Some examples include:
- WORD
- WODR
- ROWD
- RODW
- DROW
- DWOR
- ORWD
- ORDW, etc.
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The letters of the word "VIOLENT" are arranged so that the v...
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The letters of the word "VIOLENT" are arranged so that the vowels occupy even place only. The number of permutations is ______.a)144b)120c)24d)72Correct answer is option 'A'. Can you explain this answer?
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