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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 option '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
Most Upvoted Answer
The number of ways the letters of the word COMPUTER can be rearranged ...
Given word: COMPUTER
Total number of letters in the word = 8
To find the number of ways the letters can be rearranged, we use the formula for permutation of n objects taken r at a time:
nPr = n!/(n-r)!
where n = total number of objects
r = number of objects taken at a time
Using this formula, we get:
8P8 = 8!/0! = 8*7*6*5*4*3*2*1 = 40,320
Therefore, the number of ways the letters of the word COMPUTER can be rearranged is 40,320. Hence, the correct answer is option A.
Total number of letters in the word = 8
To find the number of ways the letters can be rearranged, we use the formula for permutation of n objects taken r at a time:
nPr = n!/(n-r)!
where n = total number of objects
r = number of objects taken at a time
Using this formula, we get:
8P8 = 8!/0! = 8*7*6*5*4*3*2*1 = 40,320
Therefore, the number of ways the letters of the word COMPUTER can be rearranged is 40,320. Hence, the correct answer is option A.
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Community Answer
The number of ways the letters of the word COMPUTER can be rearranged ...
Total number of ways in which the letters C O M P U T E R can be rearranged are 8! = 40320.
Number of ways in which letters of computer can be rearranged = 40320-1= 40319
Number of ways in which letters of computer can be rearranged = 40320-1= 40319
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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 option 'A'. Can you explain this answer?
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