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How many different words can be formed with the letter of the word DELHI. If these words begin with D and ends with H?
- a)5!
- b)5!/2
- c)3!
- d)3!/2
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
How many different words can be formed with the letter of the word DE...
There are 5 letter in the word DELHI of which all are each of its own kind.
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So, after fixing D in the first place and H in the last place, we have 3 letters.
So, number of words can be formed = 3!
Most Upvoted Answer
How many different words can be formed with the letter of the word DE...
Solution:
To form a word that begins with D and ends with H, we have to select the central three letters out of the given five letters. The number of ways to do that is given by:
- Combination of 3 letters out of 5 letters = 5C3 = 10
Once we have selected the central three letters, we can arrange them in any order. The number of ways to do that is given by:
- Permutation of 3 letters = 3! = 6
Therefore, the total number of different words that can be formed with the letters of the word DELHI, that begin with D and ends with H is:
- Number of ways to select the central 3 letters x number of ways to arrange those 3 letters = 10 x 6 = 60
Hence, the correct answer is option C) 3!.
To form a word that begins with D and ends with H, we have to select the central three letters out of the given five letters. The number of ways to do that is given by:
- Combination of 3 letters out of 5 letters = 5C3 = 10
Once we have selected the central three letters, we can arrange them in any order. The number of ways to do that is given by:
- Permutation of 3 letters = 3! = 6
Therefore, the total number of different words that can be formed with the letters of the word DELHI, that begin with D and ends with H is:
- Number of ways to select the central 3 letters x number of ways to arrange those 3 letters = 10 x 6 = 60
Hence, the correct answer is option C) 3!.
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How many different words can be formed with the letter of the word DELHI. If these words begin with D and ends with H?a)5!b)5!/2c)3!d)3!/2Correct answer is option 'C'. Can you explain this answer?
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How many different words can be formed with the letter of the word DELHI. If these words begin with D and ends with H?a)5!b)5!/2c)3!d)3!/2Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about How many different words can be formed with the letter of the word DELHI. If these words begin with D and ends with H?a)5!b)5!/2c)3!d)3!/2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many different words can be formed with the letter of the word DELHI. If these words begin with D and ends with H?a)5!b)5!/2c)3!d)3!/2Correct answer is option 'C'. Can you explain this answer?.
How many different words can be formed with the letter of the word DELHI. If these words begin with D and ends with H?a)5!b)5!/2c)3!d)3!/2Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about How many different words can be formed with the letter of the word DELHI. If these words begin with D and ends with H?a)5!b)5!/2c)3!d)3!/2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many different words can be formed with the letter of the word DELHI. If these words begin with D and ends with H?a)5!b)5!/2c)3!d)3!/2Correct answer is option 'C'. Can you explain this answer?.
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