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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."


How many 5 letter permutations can be formed from the letters in vertical?

There are 8P5 = 8*7*6*5*4 = 6720


How many different three letter permutations can be formed from the letters in the word clipboard?

There are three that I can see, there's clip, board and lip.


How many meaningful words can be formed with the letters ENTD using each letter only once in each word?

There are 24 permutations of the letters ENTD, but not all of them form meaningful words. By rearranging the letters, we can form the words "dent" and "tend." These are the only two meaningful words that can be formed using the letters ENTD without repeating any letter.


How many combinations can be formed with the letters of the word MATH taking 2 letters at a time?

12

Related Questions

How many distrinct permutations can be formed using the letters of the word Tennessee?

nkhnlk453


How many different 3 letter permutations can be formed from the letters in the word count?

There are 5*4*3 = 60 permutations.


How many different arrangements of 7 letters can be formed from the letters in the word ALGEBRA?

The number of 7 letter permutations of the word ALGEBRA is the same as the number of permutation of 7 things taken 7 at a time, which is 5040. However, since the letter A is duplicated once, you have to divide by 2 in order to find out the number of distinct permutations, which is 2520.


How many different 5 letter arrangements can be formed from the letters in the word Danny?

The number of 5 letter arrangements of the letters in the word DANNY is the same as the number of permutations of 5 things taken 5 at a time, which is 120. However, since the letter N is repeated once, the number of distinct permutations is one half of that, or 60.


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."


How many 5 letter permutations can be formed from the letters in vertical?

There are 8P5 = 8*7*6*5*4 = 6720


How many different three letter permutations can be formed from the letters in the word clipboard?

There are three that I can see, there's clip, board and lip.


How may different nine-letter permutations can be formed from the nine letters in the word isosceles?

9*8*7 / 2! / 3!


How many different five letter permutations can be formed fron the letters of the word ditto?

The only five letter word that can be made with those letters is 'ditto'.Other words that can be made with the letters in 'ditto' are:dodotIidittotot


How many permutations can be formed from the word statistics?

There are ten letters BUT there are 3 Ss and Ts and 2 Is. So the answer is 10!/(3!*3!*2!) = 50400


How many permutations are there in a 3-letter code which can use the letters from A to Z inclusive?

A - Z means you can use the whole alphabet, which usually contains 26 letters. So a one-letter code would give you 26 permutations. 2 letters will give you 26 x 26 permutations. A three letter code, finally, will give you 26 x 26 x 26 , provided you don't have any restrictions given, like avoiding codes formed from 3 similar letters and such.


How many permutations can be formed from the word Atlanta?

420.