Find the number of words with or without meaning which can be made using all the letters of the word AGAIN. If these words are written as in a dictionary, what will be the 50th word?

Explanation

To solve the problem, we will follow these steps:

### Step 1: Identify the letters and their frequencies
The word "AGAIN" consists of the letters A, G, A, I, N. Here, the letter A appears twice, while G, I, and N appear once.

### Step 2: Calculate the total number of distinct arrangements
To find the total number of distinct arrangements of the letters in "AGAIN", we use the formula for permutations of multiset:

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