# How many seven–letter permutations can be formed from the letters of the word GIGGLES?

##### 1 Answer

Nov 10, 2016

840

#### Explanation:

The answer is the same as that of the other contributions, but I would like to explain a little more how the calculations are obtained.

The number of ways an n-element set can be ordered is:

as long as the elements are different from each other.

But suppose the first element is repeated

possible ordinations.

Finally, if the rest of the elements of the set can also be repeated a number of times each, i.e. we have

possibilities of ordering said set of elements.