Question

An anagram of FLORIDA is any re-ordering of the letters of FLORIDA, i.e., any string made up of the letters F, L, O, R, I, D, and A, in any order. The anagram does not have to be an English word. How many different anagrams of FLORIDA are there?

Answer 1

Answer:

There are 5040 different anagrams of FLORIDA.

Step-by-step explanation:

We are given the following in the question:

Anagram of FLORIDA.

Letters are:

F, L, O, R, I, D, and A

There are 7 letters.

Thus, the number of anagrams are given by n!, where n are the number of letters in the word.

Number of anagrams =

$7!\\=7\times 6\times 5\times 4\times 3\times 2\times 1\\=5040$

Thus, there are 5040 different anagrams of FLORIDA.