How many 4-letter words (with or without meaning) can be formed from the letters of 'LOGARITHMS' if no letter is repeated?

Problem restatement
Count the 4-letter permutations from distinct letters of 'LOGARITHMS' with no repetitions.

Given data

• Word has 10 distinct letters.

Concept/Approach
Choose and order 4 distinct letters from 10: permutations ⁡10P4.

Step-by-Step calculation
⁡10P4 = 10 × 9 × 8 × 7 = 5,040

Common pitfalls
Using combinations ⁡10C4 (ignores order) instead of permutations.

Final Answer
5,040