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How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' using each letter exactly once?
- a)720
- b)24
- c)120
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
How many words with or without meaning, can be formed by using all the...
Explanation :
The word 'DELHI' has 5 letters and all these letters are different.
Total words (with or without meaning) formed by using all these
5 letters using each letter exactly once
= Number of arrangements of 5 letters taken all at a time
= 5P5 = 5! = 5 x 4 x 3 x 2 x 1 = 120
Total words (with or without meaning) formed by using all these
5 letters using each letter exactly once
= Number of arrangements of 5 letters taken all at a time
= 5P5 = 5! = 5 x 4 x 3 x 2 x 1 = 120
Most Upvoted Answer
How many words with or without meaning, can be formed by using all the...
Explanation:
Permutations of the word 'DELHI':
- The word 'DELHI' has 5 letters.
- To find the number of words that can be formed using all the letters of the word 'DELHI', we need to calculate the permutations.
- The formula for permutations of n objects taken all at a time is n! (n factorial).
- Therefore, the permutations of the word 'DELHI' can be calculated as 5! = 5 x 4 x 3 x 2 x 1 = 120.
Meaningful words:
- Some meaningful words that can be formed using the letters of 'DELHI' are 'HIDE', 'HELD', 'IDLE', 'LIED', etc.
Conclusion:
- Therefore, the total number of words with or without meaning that can be formed by using all the letters of the word 'DELHI' is 120. Hence, the correct answer is option c) 120.
Permutations of the word 'DELHI':
- The word 'DELHI' has 5 letters.
- To find the number of words that can be formed using all the letters of the word 'DELHI', we need to calculate the permutations.
- The formula for permutations of n objects taken all at a time is n! (n factorial).
- Therefore, the permutations of the word 'DELHI' can be calculated as 5! = 5 x 4 x 3 x 2 x 1 = 120.
Meaningful words:
- Some meaningful words that can be formed using the letters of 'DELHI' are 'HIDE', 'HELD', 'IDLE', 'LIED', etc.
Conclusion:
- Therefore, the total number of words with or without meaning that can be formed by using all the letters of the word 'DELHI' is 120. Hence, the correct answer is option c) 120.
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Community Answer
How many words with or without meaning, can be formed by using all the...
Explanation :
The word 'DELHI' has 5 letters and all these letters are different.
Total words (with or without meaning) formed by using all these
5 letters using each letter exactly once
= Number of arrangements of 5 letters taken all at a time
= 5P5 = 5! = 5 x 4 x 3 x 2 x 1 = 120
Total words (with or without meaning) formed by using all these
5 letters using each letter exactly once
= Number of arrangements of 5 letters taken all at a time
= 5P5 = 5! = 5 x 4 x 3 x 2 x 1 = 120
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How many words with or without meaning, can be formed by using all the letters of the word, DELHI using each letter exactly once?a)720b)24c)120d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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