Question

The number of three-letter words, with or without meaning, which can be formed using letters of the word 'VIRUS' without repetition of letters is

• A. 30
• B. 40
• C. 60
• D. 120

Hint:

When forming words without repetition, use permutations to calculate the number of possible arrangements.

Answer 1

The Correct Option is C

Step 1: Understanding the problem.
We are asked to find the number of three-letter words that can be formed from the letters of the word 'VIRUS' without repetition. The word 'VIRUS' contains 5 distinct letters: V, I, R, U, and S.

Step 2: Calculating the number of arrangements.
The number of ways to choose 3 letters from 5 distinct letters is given by the number of permutations of 3 letters from 5. This is calculated as: \[ P(5, 3) = \frac{5!}{(5-3)!} = \frac{5!}{2!} = \frac{5 \times 4 \times 3}{1} = 60 \]

Step 3: Conclusion.
The correct answer is (C) 60, as there are 60 possible three-letter words that can be formed.