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How many distinct words can be formed out of the word PROWLING which start with R & end with W?
- a)8!/2!
- b)6!2!
- c)6!
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
How many distinct words can be formed out of the word PROWLING which s...
The word PROWLING consists of 8 letters, 2 of which are to be fixed (R at the beginning and W at the end).
This leaves us with 6 letters (P, O, L, I, N, G) to arrange in the remaining 6 places, and all of these letters are different.
The number of ways to arrange n different items is given by n factorial (n!).
Therefore, the number of distinct words that can be formed is 6! = 720.
This leaves us with 6 letters (P, O, L, I, N, G) to arrange in the remaining 6 places, and all of these letters are different.
The number of ways to arrange n different items is given by n factorial (n!).
Therefore, the number of distinct words that can be formed is 6! = 720.
Most Upvoted Answer
How many distinct words can be formed out of the word PROWLING which s...
To find the distinct words that can be formed out of the word "PROWLING" starting with "R," we need to consider the remaining letters after the "R" is fixed in the first position.
The word "PROWLING" has 8 letters, and we fix the first letter as "R." So, we have 7 remaining letters to arrange: P, O, W, L, I, N, and G.
Using the concept of permutations, we can calculate the number of distinct words as follows:
Number of distinct words = Number of permutations of the remaining letters
= 7!
= 7 x 6 x 5 x 4 x 3 x 2 x 1
= 5040
Therefore, 5040 distinct words can be formed out of the word "PROWLING" that start with "R."
The word "PROWLING" has 8 letters, and we fix the first letter as "R." So, we have 7 remaining letters to arrange: P, O, W, L, I, N, and G.
Using the concept of permutations, we can calculate the number of distinct words as follows:
Number of distinct words = Number of permutations of the remaining letters
= 7!
= 7 x 6 x 5 x 4 x 3 x 2 x 1
= 5040
Therefore, 5040 distinct words can be formed out of the word "PROWLING" that start with "R."
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How many distinct words can be formed out of the word PROWLING which start with R & end with W?a)8!/2!b)6!2!c)6!d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many distinct words can be formed out of the word PROWLING which start with R & end with W?a)8!/2!b)6!2!c)6!d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many distinct words can be formed out of the word PROWLING which start with R & end with W?a)8!/2!b)6!2!c)6!d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
How many distinct words can be formed out of the word PROWLING which start with R & end with W?a)8!/2!b)6!2!c)6!d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many distinct words can be formed out of the word PROWLING which start with R & end with W?a)8!/2!b)6!2!c)6!d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many distinct words can be formed out of the word PROWLING which start with R & end with W?a)8!/2!b)6!2!c)6!d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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