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How many different arrangements of letters in the word BOUGHT can be formed if the vowels must be kept next to each other?

240


How many different 5 letter arrangements can be formed from the letters in the name CATHY if each letter is used only once in each arrangement?

120


How many different arrangements can be formed using the letters in the word ABSOLUTE if each letter is used only once?

That's eight letters, so: 8! = 40320 different arrangements. n! means "factorial", and the expression expands to n*(n - 1)*(n - 2) ... * 2 * 1


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 6 letter arrangements can be formed using the letters absent if each letter is used only once?

720 (6 x 5 x 4 x 3 x 2)


How many different 4-letter words can be formed using the letters of the word NATION?

8 different 4-letter words can be formed from the letters of the word "Nation".


How many different 7 letter arrangements can be formed from the letters in the word success?

There are 7!/(3!*2!) = 420 ways.7! for the seven letters in "success", butthere are 3 s which are indistinguishable, so divide by 3!there are 2 c which are indistinguishable, so divide by 2!


How many different words can be formed using letters gazebo?

Words that can be made with the letters in 'gazebo' are:aageagobagbebegboabogegogabgazegogob


How many words can you make from season greetings?

There are a total of 15 letters in "season greetings." To calculate the number of words that can be formed, we first need to determine the number of unique arrangements of these letters. This can be calculated using the formula for permutations of a multiset, which is 15! / (2! * 2! * 2! * 2! * 2! * 2! * 1!). This results in 1,816,214,400 unique arrangements. However, not all of these arrangements will form valid English words, as many will be nonsensical combinations of letters.


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 name tyler if each letter is used only once in each arrangement?

The answer is 5!, 5 factorial. This equals 5 X 4 X 3 X 2 X 1, which is 120.


How many different numbers can be formed by various arrangements of the six digits 111123?

6*5*4*3*2*1=720