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

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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 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 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 permutations are in the word freezer?

The word "freezer" has 7 letters, with the letter "e" appearing twice and the letter "r" appearing twice. The number of distinct permutations can be calculated using the formula for permutations of a multiset: ( \frac{n!}{n_1! , n_2! , \ldots , n_k!} ), where ( n ) is the total number of letters and ( n_i ) are the frequencies of the repeated letters. Thus, the number of permutations is ( \frac{7!}{2! \times 2!} = \frac{5040}{4} = 1260 ). Therefore, there are 1,260 distinct permutations of the word "freezer."


How many distinguishable and indistinguishable permutations are there in the word algrebra?

The word "algrebra" has 8 letters, with the letter 'a' appearing twice and 'r' appearing twice. To find the number of distinguishable permutations, we use the formula for permutations of multiset: ( \frac{n!}{n_1! \times n_2!} ), where ( n ) is the total number of letters and ( n_1, n_2 ) are the frequencies of the repeating letters. Thus, the number of distinguishable permutations is ( \frac{8!}{2! \times 2!} = 10080 ). Since all letters are counted in this formula, there are no indistinguishable permutations in this context.

Related Questions

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 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 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 permutations of 5 letter can be made without any letters being repeated?

There are 7893600 permutations.


What is the number of two letter permutations of the letters rib?

Six.


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 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 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 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 is the notation for a permutations?

The Greek letter pi. pi(abcd) represents permutations of the letters in the set {a,b,c,d}.


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.