How many 4-letter word, with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

Explanation

To solve the problem of how many 4-letter words can be formed from the letters of the word "LOGARITHMS" without repetition, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Letters**:
The word "LOGARITHMS" consists of 10 distinct letters: L, O, G, A, R, I, T, H, M, S.

2. **Determine the Number of Positions**:
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