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The number of ways the letters of the word COMPUTER can be rearranged is
- a)40320
- b)40319
- c)40318
- d)none of these
Correct answer is 'A'. Can you explain this answer?
Verified Answer
The number of ways the letters of the word COMPUTER can be rearranged ...
Since all letters in the word "COMPUTER" are distinct then the arrangements is 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
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The number of ways the letters of the word COMPUTER can be rearranged ...
Permutation of Letters in Word 'COMPUTER'
To find the number of ways the letters of the word COMPUTER can be rearranged, we need to use the concept of permutation.
- Permutation is a way of arranging objects in a specific order.
- In permutation, the order of arrangement is important.
- The formula for permutation is nPr = n!/(n-r)!
- Where n is the total number of objects and r is the number of objects to be arranged.
Using the above formula, we can find the number of ways the letters of the word COMPUTER can be rearranged.
- Here, there are a total of 8 letters in the word COMPUTER.
- So, n = 8.
- We need to arrange all the 8 letters, so r = 8.
- Therefore, the number of ways the letters of the word COMPUTER can be rearranged is 8P8 = 8!/(8-8)! = 8! = 40320.
So, the correct answer is option A) 40320.
To find the number of ways the letters of the word COMPUTER can be rearranged, we need to use the concept of permutation.
- Permutation is a way of arranging objects in a specific order.
- In permutation, the order of arrangement is important.
- The formula for permutation is nPr = n!/(n-r)!
- Where n is the total number of objects and r is the number of objects to be arranged.
Using the above formula, we can find the number of ways the letters of the word COMPUTER can be rearranged.
- Here, there are a total of 8 letters in the word COMPUTER.
- So, n = 8.
- We need to arrange all the 8 letters, so r = 8.
- Therefore, the number of ways the letters of the word COMPUTER can be rearranged is 8P8 = 8!/(8-8)! = 8! = 40320.
So, the correct answer is option A) 40320.
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The number of ways the letters of the word COMPUTER can be rearranged ...
The actual answer is 40319 since we should rearrange the existing one we should deduct the current time from total no of times
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The number of ways the letters of the word COMPUTER can be rearranged isa)40320b)40319c)40318d)none of theseCorrect answer is 'A'. Can you explain this answer?
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