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What is the number of permutations of the letters in the word quiet?
Wiki User
∙ 13y ago
5! = 5*4*3*2*1 = 120 different permutations of the letters in the word quiet.
Permutations are like combinations, only we're saying that order matters (if you're having trouble remembering which is which, think about it this way--if you're getting a perm, the order of the steps is important). So, in short, quiet is different from quite, which is different from teiuq, because the letters are in a different order.
The formula for permutations is nPr = n! over (n-r)! where n is the number of things you have to choose from and r is the number of things you're choosing. Since you're rearranging all the letters in quiet, you have 5P5 = 5! over 0!. 0! = 1 (by definition--think about it this way, how many ways can you choose 0 things? Just 1--don't pick any of them) so your problem simplifies down to just 5!, which I answered above.
Wiki User
∙ 13y ago
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How many permutations are in the word united?
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The number of permutations of the letters in the word SCHOOLS is the number of permutations of 7 things taken 7 at a time, which is 5040. However, since two of the letters, S and O, are duplicated, the number of distinct permutations is one fourth of that, or 1260.
What is the number of distinguishable permutations of the letters in the word oregon?
360. There are 6 letters, so there are 6! (=720) different permutations of 6 letters. However, since the two 'o's are indistinguishable, it is necessary to divide the total number of permutations by the number of permutations of the letter 'o's - 2! = 2 Thus 6! ÷ 2! = 360
How many ways can you rearrange the letters in the word pencil?
The number of permutations of the letters PENCIL is 6 factorial, or 720.
How many permutations of letters in the word quiet?
quiet
What is the number of distinguishable permutations of the letters in the word GLASSES?
The solution is count the number of letters in the word and divide by the number of permutations of the repeated letters; 7!/3! = 840.
How many permutations of the letters in the word Louisiana are there?
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How many permutations are in the word united?
UNITED = 6 letters The letters in the word UNITED did not repeat so the number of permutations = 6! = 6x5x4x3x2 =720
How many permutations are in the word math?
Since the word MATH does not have any duplicated letters, the number of permutations of those letters is simply the number of permutations of 4 things taken 4 at a time, or 4 factorial, or 24.
How many arrangements of the letters in the word SCHOOLS are there?
The number of permutations of the letters in the word SCHOOLS is the number of permutations of 7 things taken 7 at a time, which is 5040. However, since two of the letters, S and O, are duplicated, the number of distinct permutations is one fourth of that, or 1260.
How many permutations are possible of the word rainbow?
Since there are no duplicate letters in the word RAINBOW, the number of permutations of those letters is simply the number of permutations of 7 things taken 7 at a time, i.e. 7 factorial, which is 5040.
How many permutations of letters in word swimming?
The number of permutations of the letters SWIMMING is 8 factorial or 40,320. The number of distinct permutations, however, due to the duplication of the letters I and M is a factor of 4 less than that, or 10,080.
What is the number of distinguishable permutations of the letters in the word oregon?
360. There are 6 letters, so there are 6! (=720) different permutations of 6 letters. However, since the two 'o's are indistinguishable, it is necessary to divide the total number of permutations by the number of permutations of the letter 'o's - 2! = 2 Thus 6! ÷ 2! = 360
How many ways can you rearrange the letters in the word pencil?
The number of permutations of the letters PENCIL is 6 factorial, or 720.
How many permutations are in the word mathematics?
The word MATHEMATICS has 11 letters. The number of permutations of 11 things taken 11 at a time is 11 factorial (11!), or 39,916,800.
How many permutations are possible of the letters in the word Fresno?
There are 6! = 720 permutations.
