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How many different 4-letter permutations can be formed from the letters in the word DECAGON?
The word "DECAGON" has 7 letters, with the letter "A" appearing once, "C" appearing once, "D" appearing once, "E" appearing once, "G" appearing once, "N" appearing once, and "O" appearing once. To find the number of different 4-letter permutations, we need to consider combinations of these letters. Since all letters are unique, the number of 4-letter permutations is calculated using the formula for permutations of n distinct objects taken r at a time: ( P(n, r) = \frac{n!}{(n-r)!} ). Here, ( n = 7 ) and ( r = 4 ), so the number of permutations is ( P(7, 4) = \frac{7!}{(7-4)!} = \frac{7!}{3!} = 7 \times 6 \times 5 \times 4 = 840 ). Thus, there are 840 different 4-letter permutations that can be formed from the letters in "DECAGON."
What else can I help you with?
How many permutations of the letters a through J are there?
The letters from a to J consist of 10 distinct letters. The number of permutations of these letters is calculated using the factorial of the number of letters, which is 10!. Therefore, the total number of permutations is 10! = 3,628,800.
How many different three letter permutations can be from the letter in the word clipboard?
There are 9 * 8 * 7, or 504, three letter permutations that can be made from the letters in the work CLIPBOARD.
How many permutations are there of the letters math?
24
How many combination of 24 letters?
The answer can be written as "24!" or 24 factorial, which means 24 X 23 X 22 .... X 3 X 2 X1. The answer is 620,448,401,733,239,439,360,000 different combinations. --------------------------------------------------------------------------------------------- The question should say "permutations of 24 different letters" I believe, for which the above answer is. Number of 24 different letter permutations.
How many permutations are there of the latters of the word numbers?
There are 7 factorial, or 5040 permutations of the letters in the word NUMBERS.
how many permutation of the letters are there in geometry?
There are 8 letters in "geometry", so there are 8! (factorial) ways to arrange them in different permutations. 8! = 40,320 permutations.
How many permutations are there in 8 letters?
If they are all different, then 40320.
How many different 3 letter permutations can be formed from the letters in the word count?
There are 5*4*3 = 60 permutations.
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 different permutations are in the word ASSESSMENT?
There are 75600 permutations.
If a man has three sports coats eight ties and four vests. How many different outfits can he wear?
3 x 8 x 4 = 96 different outfits, provided every possible combination is acceptable on the street.
In how many different ways can the letters of the word ARISE be arranged?
The number of different ways the letters of a word can be arranged, when all the letters are different, is the same as the number of permutations of those letters. In this case, the answer is 5!, or 120.
How many distinguishable 5-letter combinations are possible of the letters of the word tight?
Normally, there would be 5!=120 different permutations* of five letters. Since two of the letters are the same, we can each of these permutations will be duplicated once (with the matching letters switched). So there are only half as many, or 60 permutations.* (the correct terminology is "permutation". "combination" means something else.)
How many permutations in obfuscation?
If you mean permutations of the letters in the word "obfuscation", the answer is 1,814,400.
How many permutations are possible of the letters in the word Fresno?
There are 6! = 720 permutations.
How many different three letter permutations can be from the letter in the word clipboard?
There are 9 * 8 * 7, or 504, three letter permutations that can be made from the letters in the work CLIPBOARD.
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.
